Answer:

Solve 1Simplify the expression\(12x-7-\left( 5x+6\right) =3-(8-2x)\)Distribute\(12x-7-\left( 5x+6\right) =3-(8-2x)\)\(12x-7-5x-6=3-(8-2x)\)Subtract the numbers\(12x\textcolor{#B14BA5}{-7}-5x\textcolor{#B14BA5}{-6}=3-(8-2x)\)\(12x\textcolor{#B14BA5}{-13}-5x=3-(8-2x)\)Combine like terms\(\textcolor{#B14BA5}{12x}-13\textcolor{#B14BA5}{-5x}=3-(8-2x)\)\(\textcolor{#B14BA5}{7x}-13=3-(8-2x)\)Rearrange terms\(7x-13=3-(\textcolor{#B14BA5}{8-2x})\)\(7x-13=3-(\textcolor{#B14BA5}{-2x+8})\)Distribute\(7x-13=3-\left( -2x+8\right) \)\(7x-13=3+2x-8\)Subtract the numbers\(7x-13=\textcolor{#B14BA5}{3}+2x\textcolor{#B14BA5}{-8}\)\(7x-13=\textcolor{#B14BA5}{-5}+2x\)Rearrange terms\(7x-13=\textcolor{#B14BA5}{-5+2x}\)\(7x-13=\textcolor{#B14BA5}{2x-5}\)\(7x-13=2x-5\)2Add \(13\) to both sides\(7x-13=2x-5\)\(7x-13+\textcolor{#B14BA5}{13}=2x-5+\textcolor{#B14BA5}{13}\)3Simplify the expression\(7x-13+13=2x-5+13\)Add the numbers\(7x\textcolor{#B14BA5}{-13}+\textcolor{#B14BA5}{13}=2x-5+13\)\(7x=2x-5+13\)Add the numbers\(7x=2x\textcolor{#B14BA5}{-5}+\textcolor{#B14BA5}{13}\)\(7x=2x+\textcolor{#B14BA5}{8}\)\(7x=2x+8\)4Subtract \(2x\) from both sides\(7x=2x+8\)\(7x\textcolor{#B14BA5}{-2x}=2x+8\textcolor{#B14BA5}{-2x}\)5Simplify the expression\(7x-2x=2x+8-2x\)Combine like terms\(\textcolor{#B14BA5}{7x}\textcolor{#B14BA5}{-2x}=2x+8-2x\)\(\textcolor{#B14BA5}{5x}=2x+8-2x\)Combine like terms\(5x=\textcolor{#B14BA5}{2x}+8\textcolor{#B14BA5}{-2x}\)\(5x=8\)\(5x=8\)6Divide both sides by the same factor\(5x=8\)\(\frac{5x}{\textcolor{#B14BA5}{5}}=\frac{8}{\textcolor{#B14BA5}{5}}\)7Cancel terms that are in both the numerator and denominator\(\textcolor{#B14BA5}{\frac{5x}{5}}=\frac{8}{5}\)\(\textcolor{#B14BA5}{x}=\frac{8}{5}\)4 more stepsShow less Solution \(x=\frac{8}{5}\)

Verified answer

Answer:

12x - 7-(5x+6)=3-(8-2x)

12x-7-(5x+6)

12x-5x-7-6

7x-13=3-(8-2x)

7x-13=-5+2x

7x-13-2x=-5

7x-2x=-5+13

5x=8

x=8/5

Step-by-step explanation:

Hope this helps