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

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


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

Reorder the terms:
3(-9 + 5x) = -2(6 + -2x) + x
(-9 * 3 + 5x * 3) = -2(6 + -2x) + x
(-27 + 15x) = -2(6 + -2x) + x
-27 + 15x = (6 * -2 + -2x * -2) + x
-27 + 15x = (-12 + 4x) + x

Combine like terms: 4x + x = 5x
-27 + 15x = -12 + 5x

Solving
-27 + 15x = -12 + 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.
-27 + 15x + -5x = -12 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-27 + 10x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-27 + 10x = -12 + 0
-27 + 10x = -12

Add '27' to each side of the equation.
-27 + 27 + 10x = -12 + 27

Combine like terms: -27 + 27 = 0
0 + 10x = -12 + 27
10x = -12 + 27

Combine like terms: -12 + 27 = 15
10x = 15

Divide each side by '10'.
x = 1.5

Simplifying
x = 1.5

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