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

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


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

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

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

Solving
-10 + 2x = 8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 2x + -8x = 8 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-10 + -6x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -6x = 8 + 0
-10 + -6x = 8

Add '10' to each side of the equation.
-10 + 10 + -6x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = 8 + 10
-6x = 8 + 10

Combine like terms: 8 + 10 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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