3(x-4)+-4(x-3)=x+3(x-3)

Solution for 3(x-4)+-4(x-3)=x+3(x-3) equation:

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

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

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

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

Combine like terms: -12 + 12 = 0
0 + 3x + -4x = x + 3(x + -3)
3x + -4x = x + 3(x + -3)

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

Reorder the terms:
-1x = x + 3(-3 + x)
-1x = x + (-3 * 3 + x * 3)
-1x = x + (-9 + 3x)

Reorder the terms:
-1x = -9 + x + 3x

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

Solving
-1x = -9 + 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.
-1x + -4x = -9 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-5x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5x = -9 + 0
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8