5(2x+6)=-4(15-2x)+3x

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Solution for 5(2x+6)=-4(15-2x)+3x equation: 


Simplifying
5(2x + 6) = -4(15 + -2x) + 3x

Reorder the terms:
5(6 + 2x) = -4(15 + -2x) + 3x
(6 * 5 + 2x * 5) = -4(15 + -2x) + 3x
(30 + 10x) = -4(15 + -2x) + 3x
30 + 10x = (15 * -4 + -2x * -4) + 3x
30 + 10x = (-60 + 8x) + 3x

Combine like terms: 8x + 3x = 11x
30 + 10x = -60 + 11x

Solving
30 + 10x = -60 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
30 + 10x + -11x = -60 + 11x + -11x

Combine like terms: 10x + -11x = -1x
30 + -1x = -60 + 11x + -11x

Combine like terms: 11x + -11x = 0
30 + -1x = -60 + 0
30 + -1x = -60

Add '-30' to each side of the equation.
30 + -30 + -1x = -60 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = -60 + -30
-1x = -60 + -30

Combine like terms: -60 + -30 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90

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