4(x-3+4)=5(x-6+5)

Solution for 4(x-3+4)=5(x-6+5) equation:

Simplifying
4(x + -3 + 4) = 5(x + -6 + 5)

Reorder the terms:
4(-3 + 4 + x) = 5(x + -6 + 5)

Combine like terms: -3 + 4 = 1
4(1 + x) = 5(x + -6 + 5)
(1 * 4 + x * 4) = 5(x + -6 + 5)
(4 + 4x) = 5(x + -6 + 5)

Reorder the terms:
4 + 4x = 5(-6 + 5 + x)

Combine like terms: -6 + 5 = -1
4 + 4x = 5(-1 + x)
4 + 4x = (-1 * 5 + x * 5)
4 + 4x = (-5 + 5x)

Solving
4 + 4x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 4x + -5x = -5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
4 + -1x = -5 + 0
4 + -1x = -5

Add '-4' to each side of the equation.
4 + -4 + -1x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -5 + -4
-1x = -5 + -4

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9