7+(2x-1)=5-(2x-2)

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Solution for 7+(2x-1)=5-(2x-2) equation:


Simplifying
7 + (2x + -1) = 5 + -1(2x + -2)

Reorder the terms:
7 + (-1 + 2x) = 5 + -1(2x + -2)

Remove parenthesis around (-1 + 2x)
7 + -1 + 2x = 5 + -1(2x + -2)

Combine like terms: 7 + -1 = 6
6 + 2x = 5 + -1(2x + -2)

Reorder the terms:
6 + 2x = 5 + -1(-2 + 2x)
6 + 2x = 5 + (-2 * -1 + 2x * -1)
6 + 2x = 5 + (2 + -2x)

Combine like terms: 5 + 2 = 7
6 + 2x = 7 + -2x

Solving
6 + 2x = 7 + -2x

Solving for variable 'x'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 7 + -6

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

Combine like terms: 7 + -6 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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