# How do you solve \frac { 5( x - 2) } { 2} \geq \frac { 2x } { 11} - 8?

Nov 5, 2017

Given: $\frac{5 \left(x - 2\right)}{2} \ge \frac{2 x}{11} - 8$

Multiply both sides by 22:

$55 \left(x - 2\right) \ge 4 x - 176$

Perform the implied multiplication on the left side:

$55 x - 110 \ge 4 x - 176$

$55 x \ge 4 x - 66$

Subtract 4x from both sides:

$51 x \ge - 66$

Divide both sides by 51:

$x \ge - \frac{66}{51}$

Reduce the fraction:

$x \ge - \frac{22}{17}$