-5(x-9)=2(x-8)-11

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Solution for -5(x-9)=2(x-8)-11 equation:


Simplifying
-5(x + -9) = 2(x + -8) + -11

Reorder the terms:
-5(-9 + x) = 2(x + -8) + -11
(-9 * -5 + x * -5) = 2(x + -8) + -11
(45 + -5x) = 2(x + -8) + -11

Reorder the terms:
45 + -5x = 2(-8 + x) + -11
45 + -5x = (-8 * 2 + x * 2) + -11
45 + -5x = (-16 + 2x) + -11

Reorder the terms:
45 + -5x = -16 + -11 + 2x

Combine like terms: -16 + -11 = -27
45 + -5x = -27 + 2x

Solving
45 + -5x = -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 + -5x + -2x = -27 + 2x + -2x

Combine like terms: -5x + -2x = -7x
45 + -7x = -27 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -7x = -27 + 0
45 + -7x = -27

Add '-45' to each side of the equation.
45 + -45 + -7x = -27 + -45

Combine like terms: 45 + -45 = 0
0 + -7x = -27 + -45
-7x = -27 + -45

Combine like terms: -27 + -45 = -72
-7x = -72

Divide each side by '-7'.
x = 10.28571429

Simplifying
x = 10.28571429

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