Question

question
solve the following equation for ( x ). express your answer in the simp form.
( 8(9x + 10) - 6 = 6x - \frac{3}{2}(-6x + 2) )
answer attempt 1 out of 2
the equation has

Explanation:

Step1: Expand both sides

$8(9x+10)-6 = 72x + 80 - 6 = 72x + 74$
$\displaystyle 6x - \frac{3}{2}(-6x+2) = 6x + 9x - 3 = 15x - 3$

Step2: Set equal, isolate x terms

$72x - 15x = -3 - 74$

Step3: Simplify and solve for x

$57x = -77$
$\displaystyle x = -\frac{77}{57}$

Answer:

$\displaystyle x = -\frac{77}{57}$