Solve 8x = 4x – 32?

Question

1. 8
2. 4
3. –4
4. –8

b. Solve 6y = 12 – 6y

1. 0
2. 1
3. –1
4. all real numbers

c. Solve 7(2 – m) = 3m

1. Option A: -7/5
2. Option B:–1
3. Option C: 1
4. Option D: 7/5

Answer 1

8x = 4x - 32
4x = -32
x = -8

b.
6y = 12 - 6y
12y = 12
y = 1

c.
7(2-m) = 3m
14 - 7m =3m
14 = 10m
m = 14/10
m = 7/5

Answer 2

When you have parenthesis, just distribute (multiply it out) 6-3x = 12-4x-6 6-12+6= 3x-4x 0 = -x X = 0 8x = 4x-32 4x = -32 X = -8 4(a+2) = 14-2(3-2a) 4a + 8 = 14 -6 +4a 4a-4a = -8+14-6 0 = 0

Answer 3

a) 8x = 4x - 32
8x - 4x = -32
4x = -32
x = -32 / 4
x = -8
the answer for question (a) is option 4 which is -8
b) 6y = 12 – 6y
6y + 6y = 12
12y = 12
y = 1
the answer for question (b) is option 2 which is 1
c) 7(2 – m) = 3m
14 - 7m = 3m
-7m -3m = -14
-10m = -14
m = -14 / -10
m = 14 / 10 = 7 / 5
the answer for question (c) is option D which is 7/5

Answer 4

a. 8x = 4x - 32
4x = -32
x = -8 option 4

b. 6y = 12 - 6y
12 y = 12
y = 1 option 2
c. 14 - 7m = 3m
14 = 10m
14/10 = m
7/5 = m so option d

Answer 5

8x 4x 32

Answer 6

aa) 8x = 4x - 32
8x - 4x = 4x
4x = -32
x = -8

b) 6y = 12 - 6y
6y+6y = 12
12y = 12
y = 1

c) 14-7m = 3m
4m = 14
m = 14/4 = 7/5

Answer 7

1- 8x=4x - 32
4x=(-)32
x=(-)8

2- 6y=12 - 6y
12y=12
y =1

3- 7(2-m)=3m
14 - 7m = 3m
14 = 10m
m= 1.4 (7/5)

Answer 8

8x = 4x – 32
4x = –32
x = –8 (answer no.4)

6y = 12 – 6y
12y = 12
y = 1 (answer no. 2)

7(2 – m) = 3m
14 – 7m = 3m
14 = 10m
m = 7/5 (Option D)

Answer 9

a. 8x = 4x - 32 (Given)
8x - 4x = 4x - 4x - 32 (Subtraction Property of Equality)
4x = -32 (Subtraction)
x = -32/4 (Division Property of Equality)
x = -8 (Division)

The answer is #4, which is -8.

b. 6y = 12 - 6y (Given)
6y + 6y = 12 - 6y + 6y (Addition Property of Equality)
12y = 12 (Addition)
y = 12/12 (Division Property of Equality)
y = 1 (Division)

The answer is #2, which is 1.

c. 7(2-m) = 3m (Given)
14 - 7m = 3m (Distributive Property)
14 - 7m + 7m = 3m + 7m (Addition Property of Equality)
14 = 3m + 7m(Subtraction)
14 = 10m (Addition)
14/10 = m (Division Property of Equality)
7/5 = m (Division)

The answer is #4, Option D: 7/5.

In case you don't know:

The Addition Property of Equality states that you can add the same thing to both sides of the equal sign, and the equation will stay equal.

The Subtraction Property of Equality states that you can subtract the same thing to both sides of the equal sign, and the equation will stay equal.

The Division Property of Equality states that you can divide the same thing to both sides of the equal sign, and the equation will stay equal.

The Distributive Property states that a(b+c) = ab + ac.

Answer 10

1. 8x=4x-32
8x-4x=4x-4x-32
4x=-32
x=-8

2. 6y=12-6y
6y+6y=12-6y+6y
12y=12
y=1

3. 7(2-m)=3m
14-7m=3m
14-7m+7m=3m+7m
14=10m
14/10=7/5=m D