-2(x+1)+5=2(2x-1)

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Solution for -2(x+1)+5=2(2x-1) equation:


Simplifying
-2(x + 1) + 5 = 2(2x + -1)

Reorder the terms:
-2(1 + x) + 5 = 2(2x + -1)
(1 * -2 + x * -2) + 5 = 2(2x + -1)
(-2 + -2x) + 5 = 2(2x + -1)

Reorder the terms:
-2 + 5 + -2x = 2(2x + -1)

Combine like terms: -2 + 5 = 3
3 + -2x = 2(2x + -1)

Reorder the terms:
3 + -2x = 2(-1 + 2x)
3 + -2x = (-1 * 2 + 2x * 2)
3 + -2x = (-2 + 4x)

Solving
3 + -2x = -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.
3 + -2x + -4x = -2 + 4x + -4x

Combine like terms: -2x + -4x = -6x
3 + -6x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -6x = -2 + 0
3 + -6x = -2

Add '-3' to each side of the equation.
3 + -3 + -6x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -2 + -3
-6x = -2 + -3

Combine like terms: -2 + -3 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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