5(1+2x)=-4(1-3x)-x

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Solution for 5(1+2x)=-4(1-3x)-x equation: 


Simplifying
5(1 + 2x) = -4(1 + -3x) + -1x
(1 * 5 + 2x * 5) = -4(1 + -3x) + -1x
(5 + 10x) = -4(1 + -3x) + -1x
5 + 10x = (1 * -4 + -3x * -4) + -1x
5 + 10x = (-4 + 12x) + -1x

Combine like terms: 12x + -1x = 11x
5 + 10x = -4 + 11x

Solving
5 + 10x = -4 + 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.
5 + 10x + -11x = -4 + 11x + -11x

Combine like terms: 10x + -11x = -1x
5 + -1x = -4 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + -1x = -4 + 0
5 + -1x = -4

Add '-5' to each side of the equation.
5 + -5 + -1x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -4 + -5
-1x = -4 + -5

Combine like terms: -4 + -5 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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