-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 = 7
7 + -2x = 2(2x + -1)

Reorder the terms:
7 + -2x = 2(-1 + 2x)
7 + -2x = (-1 * 2 + 2x * 2)
7 + -2x = (-2 + 4x)

Solving
7 + -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.
7 + -2x + -4x = -2 + 4x + -4x

Combine like terms: -2x + -4x = -6x
7 + -6x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -6x = -2 + 0
7 + -6x = -2

Add '-7' to each side of the equation.
7 + -7 + -6x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -2 + -7
-6x = -2 + -7

Combine like terms: -2 + -7 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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