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