Question

-3/-4(8x-12)=5x-2 how do I solve this

Answer 1

The answer would be x equals 7

Answer 2

1 Two negatives make a positive
\frac{3}{4}(8x-12)=5x-2
​4
​
​3
​​ (8x−12)=5x−2

2 Simplify \frac{3}{4}(8x-12)
​4
​
​3
​​ (8x−12) to \frac{3(8x-12)}{4}
​4
​
​3(8x−12)
​​
\frac{3(8x-12)}{4}=5x-2
​4
​
​3(8x−12)
​​ =5x−2

3 Factor out the common term 44
\frac{3\times 4(2x-3)}{4}=5x-2
​4
​
​3×4(2x−3)
​​ =5x−2

4 Simplify 3\times 4(2x-3)3×4(2x−3) to 12(2x-3)12(2x−3)
\frac{12(2x-3)}{4}=5x-2
​4
​
​12(2x−3)
​​ =5x−2

5 Simplify \frac{12(2x-3)}{4}
​4
​
​12(2x−3)
​​ to 3(2x-3)3(2x−3)
3(2x-3)=5x-23(2x−3)=5x−2

6 Expand
6x-9=5x-26x−9=5x−2

7 Add 99 to both sides
6x=5x-2+96x=5x−2+9

8 Simplify 5x-2+95x−2+9 to 5x+75x+7
6x=5x+76x=5x+7

9 Subtract 5x5x from both sides
6x-5x=76x−5x=7

10 Simplify 6x-5x6x−5x to xx
x=7x=7