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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