x+2=2(2x-1)

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Solution for x+2=2(2x-1) equation:


Simplifying
x + 2 = 2(2x + -1)

Reorder the terms:
2 + x = 2(2x + -1)

Reorder the terms:
2 + x = 2(-1 + 2x)
2 + x = (-1 * 2 + 2x * 2)
2 + x = (-2 + 4x)

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

Combine like terms: x + -4x = -3x
2 + -3x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -3x = -2 + 0
2 + -3x = -2

Add '-2' to each side of the equation.
2 + -2 + -3x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -2 + -2
-3x = -2 + -2

Combine like terms: -2 + -2 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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