5x-8=2x-4(x-5)

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Solution for 5x-8=2x-4(x-5) equation:


Simplifying
5x + -8 = 2x + -4(x + -5)

Reorder the terms:
-8 + 5x = 2x + -4(x + -5)

Reorder the terms:
-8 + 5x = 2x + -4(-5 + x)
-8 + 5x = 2x + (-5 * -4 + x * -4)
-8 + 5x = 2x + (20 + -4x)

Reorder the terms:
-8 + 5x = 20 + 2x + -4x

Combine like terms: 2x + -4x = -2x
-8 + 5x = 20 + -2x

Solving
-8 + 5x = 20 + -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.
-8 + 5x + 2x = 20 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-8 + 7x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 7x = 20 + 0
-8 + 7x = 20

Add '8' to each side of the equation.
-8 + 8 + 7x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 20 + 8
7x = 20 + 8

Combine like terms: 20 + 8 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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