4+11x+1+12x=2(-7-5x)+10(5x-10)

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Solution for 4+11x+1+12x=2(-7-5x)+10(5x-10) equation:


Simplifying
4 + 11x + 1 + 12x = 2(-7 + -5x) + 10(5x + -10)

Reorder the terms:
4 + 1 + 11x + 12x = 2(-7 + -5x) + 10(5x + -10)

Combine like terms: 4 + 1 = 5
5 + 11x + 12x = 2(-7 + -5x) + 10(5x + -10)

Combine like terms: 11x + 12x = 23x
5 + 23x = 2(-7 + -5x) + 10(5x + -10)
5 + 23x = (-7 * 2 + -5x * 2) + 10(5x + -10)
5 + 23x = (-14 + -10x) + 10(5x + -10)

Reorder the terms:
5 + 23x = -14 + -10x + 10(-10 + 5x)
5 + 23x = -14 + -10x + (-10 * 10 + 5x * 10)
5 + 23x = -14 + -10x + (-100 + 50x)

Reorder the terms:
5 + 23x = -14 + -100 + -10x + 50x

Combine like terms: -14 + -100 = -114
5 + 23x = -114 + -10x + 50x

Combine like terms: -10x + 50x = 40x
5 + 23x = -114 + 40x

Solving
5 + 23x = -114 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
5 + 23x + -40x = -114 + 40x + -40x

Combine like terms: 23x + -40x = -17x
5 + -17x = -114 + 40x + -40x

Combine like terms: 40x + -40x = 0
5 + -17x = -114 + 0
5 + -17x = -114

Add '-5' to each side of the equation.
5 + -5 + -17x = -114 + -5

Combine like terms: 5 + -5 = 0
0 + -17x = -114 + -5
-17x = -114 + -5

Combine like terms: -114 + -5 = -119
-17x = -119

Divide each side by '-17'.
x = 7

Simplifying
x = 7

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