2-(2x-3)=1+(5x-1)

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Solution for 2-(2x-3)=1+(5x-1) equation:


Simplifying
2 + -1(2x + -3) = 1 + (5x + -1)

Reorder the terms:
2 + -1(-3 + 2x) = 1 + (5x + -1)
2 + (-3 * -1 + 2x * -1) = 1 + (5x + -1)
2 + (3 + -2x) = 1 + (5x + -1)

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

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

Remove parenthesis around (-1 + 5x)
5 + -2x = 1 + -1 + 5x

Combine like terms: 1 + -1 = 0
5 + -2x = 0 + 5x
5 + -2x = 5x

Solving
5 + -2x = 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
5 + -2x + -5x = 5x + -5x

Combine like terms: -2x + -5x = -7x
5 + -7x = 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -7x = 0

Add '-5' to each side of the equation.
5 + -5 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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