4x+9x-8=12(2x-2)+5

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Solution for 4x+9x-8=12(2x-2)+5 equation:


Simplifying
4x + 9x + -8 = 12(2x + -2) + 5

Reorder the terms:
-8 + 4x + 9x = 12(2x + -2) + 5

Combine like terms: 4x + 9x = 13x
-8 + 13x = 12(2x + -2) + 5

Reorder the terms:
-8 + 13x = 12(-2 + 2x) + 5
-8 + 13x = (-2 * 12 + 2x * 12) + 5
-8 + 13x = (-24 + 24x) + 5

Reorder the terms:
-8 + 13x = -24 + 5 + 24x

Combine like terms: -24 + 5 = -19
-8 + 13x = -19 + 24x

Solving
-8 + 13x = -19 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-8 + 13x + -24x = -19 + 24x + -24x

Combine like terms: 13x + -24x = -11x
-8 + -11x = -19 + 24x + -24x

Combine like terms: 24x + -24x = 0
-8 + -11x = -19 + 0
-8 + -11x = -19

Add '8' to each side of the equation.
-8 + 8 + -11x = -19 + 8

Combine like terms: -8 + 8 = 0
0 + -11x = -19 + 8
-11x = -19 + 8

Combine like terms: -19 + 8 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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