3(1-3x)=2(-4x-17)

Solution for 3(1-3x)=2(-4x-17) equation:

Simplifying
3(1 + -3x) = 2(-4x + -17)
(1 * 3 + -3x * 3) = 2(-4x + -17)
(3 + -9x) = 2(-4x + -17)

Reorder the terms:
3 + -9x = 2(-17 + -4x)
3 + -9x = (-17 * 2 + -4x * 2)
3 + -9x = (-34 + -8x)

Solving
3 + -9x = -34 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
3 + -9x + 8x = -34 + -8x + 8x

Combine like terms: -9x + 8x = -1x
3 + -1x = -34 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + -1x = -34 + 0
3 + -1x = -34

Add '-3' to each side of the equation.
3 + -3 + -1x = -34 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -34 + -3
-1x = -34 + -3

Combine like terms: -34 + -3 = -37
-1x = -37

Divide each side by '-1'.
x = 37

Simplifying
x = 37