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

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


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

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

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

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

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

Combine like terms: 4x + -4x = 0
4 + -2x = -10 + 0
4 + -2x = -10

Add '-4' to each side of the equation.
4 + -4 + -2x = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -10 + -4
-2x = -10 + -4

Combine like terms: -10 + -4 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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