-5(x-4)=2(x-9)-4

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Solution for -5(x-4)=2(x-9)-4 equation: 


Simplifying
-5(x + -4) = 2(x + -9) + -4

Reorder the terms:
-5(-4 + x) = 2(x + -9) + -4
(-4 * -5 + x * -5) = 2(x + -9) + -4
(20 + -5x) = 2(x + -9) + -4

Reorder the terms:
20 + -5x = 2(-9 + x) + -4
20 + -5x = (-9 * 2 + x * 2) + -4
20 + -5x = (-18 + 2x) + -4

Reorder the terms:
20 + -5x = -18 + -4 + 2x

Combine like terms: -18 + -4 = -22
20 + -5x = -22 + 2x

Solving
20 + -5x = -22 + 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.
20 + -5x + -2x = -22 + 2x + -2x

Combine like terms: -5x + -2x = -7x
20 + -7x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -7x = -22 + 0
20 + -7x = -22

Add '-20' to each side of the equation.
20 + -20 + -7x = -22 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -22 + -20
-7x = -22 + -20

Combine like terms: -22 + -20 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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