-5(2x-9)=2x-16-11

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Solution for -5(2x-9)=2x-16-11 equation:


Simplifying
-5(2x + -9) = 2x + -16 + -11

Reorder the terms:
-5(-9 + 2x) = 2x + -16 + -11
(-9 * -5 + 2x * -5) = 2x + -16 + -11
(45 + -10x) = 2x + -16 + -11

Reorder the terms:
45 + -10x = -16 + -11 + 2x

Combine like terms: -16 + -11 = -27
45 + -10x = -27 + 2x

Solving
45 + -10x = -27 + 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.
45 + -10x + -2x = -27 + 2x + -2x

Combine like terms: -10x + -2x = -12x
45 + -12x = -27 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -12x = -27 + 0
45 + -12x = -27

Add '-45' to each side of the equation.
45 + -45 + -12x = -27 + -45

Combine like terms: 45 + -45 = 0
0 + -12x = -27 + -45
-12x = -27 + -45

Combine like terms: -27 + -45 = -72
-12x = -72

Divide each side by '-12'.
x = 6

Simplifying
x = 6

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