Question

= -6x + 8(x + 2)" alt="-2(3 - 2x) = -6x + 8(x + 2)" align="absmiddle" class="latex-formula">
solve step by step​

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}$

Step-by-step explanation:

$\sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}$

Distribute -2 through the parentheses

Similarly, Distribute 8 through the parentheses

$\dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}$

Collect like terms

$\dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}$

Move 2x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

$\dashrightarrow{ \sf{4x - 2x = 16 + 6}}$

Collect like terms

$\dashrightarrow{ \sf{2x = 16 + 6}}$

Add the numbers : 16 and 6

$\dashrightarrow{ \sf{2x = 22}}$

Divide both sides by 2

$\dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}$

Calculate

$\dashrightarrow{ \sf{x = 11}}$

Hope I helped!

Best regards! :D