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

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


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

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

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

Solving
8 + 4x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 4x + -5x = -10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
8 + -1x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -1x = -10 + 0
8 + -1x = -10

Add '-8' to each side of the equation.
8 + -8 + -1x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -10 + -8
-1x = -10 + -8

Combine like terms: -10 + -8 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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