4x-(2-x)=13+5(x-3)

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Solution for 4x-(2-x)=13+5(x-3) equation:


Simplifying
4x + -1(2 + -1x) = 13 + 5(x + -3)
4x + (2 * -1 + -1x * -1) = 13 + 5(x + -3)
4x + (-2 + 1x) = 13 + 5(x + -3)

Reorder the terms:
-2 + 4x + 1x = 13 + 5(x + -3)

Combine like terms: 4x + 1x = 5x
-2 + 5x = 13 + 5(x + -3)

Reorder the terms:
-2 + 5x = 13 + 5(-3 + x)
-2 + 5x = 13 + (-3 * 5 + x * 5)
-2 + 5x = 13 + (-15 + 5x)

Combine like terms: 13 + -15 = -2
-2 + 5x = -2 + 5x

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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