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

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


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

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

Combine like terms: 2x + 5x = 7x
-2 + 7x = 2(2x + -1)

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

Add '2' to each side of the equation.
-2 + 2 + 7x = -2 + 2 + 4x

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

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

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

Combine like terms: 7x + -4x = 3x
3x = 4x + -4x

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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