6(2x-9)-4x=3(x-5)+2x

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Solution for 6(2x-9)-4x=3(x-5)+2x equation: 


Simplifying
6(2x + -9) + -4x = 3(x + -5) + 2x

Reorder the terms:
6(-9 + 2x) + -4x = 3(x + -5) + 2x
(-9 * 6 + 2x * 6) + -4x = 3(x + -5) + 2x
(-54 + 12x) + -4x = 3(x + -5) + 2x

Combine like terms: 12x + -4x = 8x
-54 + 8x = 3(x + -5) + 2x

Reorder the terms:
-54 + 8x = 3(-5 + x) + 2x
-54 + 8x = (-5 * 3 + x * 3) + 2x
-54 + 8x = (-15 + 3x) + 2x

Combine like terms: 3x + 2x = 5x
-54 + 8x = -15 + 5x

Solving
-54 + 8x = -15 + 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.
-54 + 8x + -5x = -15 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-54 + 3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-54 + 3x = -15 + 0
-54 + 3x = -15

Add '54' to each side of the equation.
-54 + 54 + 3x = -15 + 54

Combine like terms: -54 + 54 = 0
0 + 3x = -15 + 54
3x = -15 + 54

Combine like terms: -15 + 54 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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