# How do you solve 3(1-3x)=2(-4x+7)?

$x = - 11$

#### Explanation:

First, expand both sides of the equation.

$3 - 9 x = - 8 x + 14$

Make sure that the variable, x, is only on one side of the equation. Add 9x to each side.

$3 - 9 x + 9 x = - 8 x + 14 + 9 x$

$3 = 14 + x$

Subtract 14 from both sides.

$3 - 14 = 14 + x - 14$
$- 11 = x$

Check the solution:
$3 \left(1 - 3 \left[- 11\right]\right) = 2 \left(- 4 \left[- 11\right] + 7\right)$
$3 \left(1 - - 33\right) = 2 \left(44 + 7\right)$
$3 \left(1 + 33\right) = 2 \left(44 + 7\right)$
$3 \left(34\right) = 2 \left(51\right)$
$102 = 102$