6(x-6)+2x-10=4(x-9)+9x

Solution for 6(x-6)+2x-10=4(x-9)+9x equation:

Simplifying
6(x + -6) + 2x + -10 = 4(x + -9) + 9x

Reorder the terms:
6(-6 + x) + 2x + -10 = 4(x + -9) + 9x
(-6 * 6 + x * 6) + 2x + -10 = 4(x + -9) + 9x
(-36 + 6x) + 2x + -10 = 4(x + -9) + 9x

Reorder the terms:
-36 + -10 + 6x + 2x = 4(x + -9) + 9x

Combine like terms: -36 + -10 = -46
-46 + 6x + 2x = 4(x + -9) + 9x

Combine like terms: 6x + 2x = 8x
-46 + 8x = 4(x + -9) + 9x

Reorder the terms:
-46 + 8x = 4(-9 + x) + 9x
-46 + 8x = (-9 * 4 + x * 4) + 9x
-46 + 8x = (-36 + 4x) + 9x

Combine like terms: 4x + 9x = 13x
-46 + 8x = -36 + 13x

Solving
-46 + 8x = -36 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-46 + 8x + -13x = -36 + 13x + -13x

Combine like terms: 8x + -13x = -5x
-46 + -5x = -36 + 13x + -13x

Combine like terms: 13x + -13x = 0
-46 + -5x = -36 + 0
-46 + -5x = -36

Add '46' to each side of the equation.
-46 + 46 + -5x = -36 + 46

Combine like terms: -46 + 46 = 0
0 + -5x = -36 + 46
-5x = -36 + 46

Combine like terms: -36 + 46 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2