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

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


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

Reorder the terms:
2(-5 + x) = -4(x + -8)
(-5 * 2 + x * 2) = -4(x + -8)
(-10 + 2x) = -4(x + -8)

Reorder the terms:
-10 + 2x = -4(-8 + x)
-10 + 2x = (-8 * -4 + x * -4)
-10 + 2x = (32 + -4x)

Solving
-10 + 2x = 32 + -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.
-10 + 2x + 4x = 32 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-10 + 6x = 32 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 6x = 32 + 0
-10 + 6x = 32

Add '10' to each side of the equation.
-10 + 10 + 6x = 32 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 32 + 10
6x = 32 + 10

Combine like terms: 32 + 10 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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