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

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


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

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

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

Combine like terms: -8 + 8 = 0
0 + 2x = 4(x + -5)
2x = 4(x + -5)

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

Solving
2x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x = -20 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-2x = -20 + 0
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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