5x-7(10+2x)=2x+18

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Solution for 5x-7(10+2x)=2x+18 equation:


Simplifying
5x + -7(10 + 2x) = 2x + 18
5x + (10 * -7 + 2x * -7) = 2x + 18
5x + (-70 + -14x) = 2x + 18

Reorder the terms:
-70 + 5x + -14x = 2x + 18

Combine like terms: 5x + -14x = -9x
-70 + -9x = 2x + 18

Reorder the terms:
-70 + -9x = 18 + 2x

Solving
-70 + -9x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-70 + -9x + -2x = 18 + 2x + -2x

Combine like terms: -9x + -2x = -11x
-70 + -11x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-70 + -11x = 18 + 0
-70 + -11x = 18

Add '70' to each side of the equation.
-70 + 70 + -11x = 18 + 70

Combine like terms: -70 + 70 = 0
0 + -11x = 18 + 70
-11x = 18 + 70

Combine like terms: 18 + 70 = 88
-11x = 88

Divide each side by '-11'.
x = -8

Simplifying
x = -8

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