Question

4(2x+2)=8(2-3x)

Solve for x

Answer 1

x = 0.25

Explanation:

The first step for this problem is to multiply (2x+2) by 4 and (2-3x) by 8:

4(2x+2) = 8x+8

8(2-3x) = 16-24x

The equation becomes: 8x+8 = 16-24x

The second step for this problem is to move the terms with x to one side of the equals sign, and to move the terms without x to the other side.

8x+8 = 16-24x

8x+24x = 16-8

The third step is to combine like terms.

8x+24x = 32x

16-8 = 8

The equation becomes 32x = 8

The final step is to divide 8 by 32 to isolate the x:

32x = 8

x = 8/32 = 1/4 = 0.25

Answer 2

x would equal 1/4

x = 1/4

Step by step:

1. Distribute the equation on the left 4(2x+2). That would equal 8x+8 when you multiply 4 · 2x and 4 · 2

2. Rearrange the terms for the equation on the left side 8(2-3x). It should be 8(-3x+2)

3. Now distribute the left side. 8(-3x+2) = -24x+16

4. Now subtract 8 from both sides of the equation ( 8x+8-8 ) = (-24x+16-8)

You should get 8x= -24x+8

5. Now add 24x to both sides ( 8x+24x = -24x+8+24x )

6. Combine the like terms (8x+24x = 32x = 8)

7. Divide both sides by 32. 32/32 and 8/32

And that should get you 1/4

Hope the explanation helped