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

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


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

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

Reorder the terms:
20 + -5x = 5(-2 + x)
20 + -5x = (-2 * 5 + x * 5)
20 + -5x = (-10 + 5x)

Solving
20 + -5x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + -5x + -5x = -10 + 5x + -5x

Combine like terms: -5x + -5x = -10x
20 + -10x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -10x = -10 + 0
20 + -10x = -10

Add '-20' to each side of the equation.
20 + -20 + -10x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = -10 + -20
-10x = -10 + -20

Combine like terms: -10 + -20 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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