3(x-4)-2(2x-3)=4(x-9)

Solution for 3(x-4)-2(2x-3)=4(x-9) equation:

Simplifying
3(x + -4) + -2(2x + -3) = 4(x + -9)

Reorder the terms:
3(-4 + x) + -2(2x + -3) = 4(x + -9)
(-4 * 3 + x * 3) + -2(2x + -3) = 4(x + -9)
(-12 + 3x) + -2(2x + -3) = 4(x + -9)

Reorder the terms:
-12 + 3x + -2(-3 + 2x) = 4(x + -9)
-12 + 3x + (-3 * -2 + 2x * -2) = 4(x + -9)
-12 + 3x + (6 + -4x) = 4(x + -9)

Reorder the terms:
-12 + 6 + 3x + -4x = 4(x + -9)

Combine like terms: -12 + 6 = -6
-6 + 3x + -4x = 4(x + -9)

Combine like terms: 3x + -4x = -1x
-6 + -1x = 4(x + -9)

Reorder the terms:
-6 + -1x = 4(-9 + x)
-6 + -1x = (-9 * 4 + x * 4)
-6 + -1x = (-36 + 4x)

Solving
-6 + -1x = -36 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + -1x + -4x = -36 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-6 + -5x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -5x = -36 + 0
-6 + -5x = -36

Add '6' to each side of the equation.
-6 + 6 + -5x = -36 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = -36 + 6
-5x = -36 + 6

Combine like terms: -36 + 6 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6