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

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


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

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

Reorder the terms:
45 + -10x = 2(-2 + x) + -11
45 + -10x = (-2 * 2 + x * 2) + -11
45 + -10x = (-4 + 2x) + -11

Reorder the terms:
45 + -10x = -4 + -11 + 2x

Combine like terms: -4 + -11 = -15
45 + -10x = -15 + 2x

Solving
45 + -10x = -15 + 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 = -15 + 2x + -2x

Combine like terms: -10x + -2x = -12x
45 + -12x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -12x = -15 + 0
45 + -12x = -15

Add '-45' to each side of the equation.
45 + -45 + -12x = -15 + -45

Combine like terms: 45 + -45 = 0
0 + -12x = -15 + -45
-12x = -15 + -45

Combine like terms: -15 + -45 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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