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

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


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

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

Combine like terms: 5 + 3 = 8
8 + -1x = 3x + 4(2 + -1x)
8 + -1x = 3x + (2 * 4 + -1x * 4)
8 + -1x = 3x + (8 + -4x)

Reorder the terms:
8 + -1x = 8 + 3x + -4x

Combine like terms: 3x + -4x = -1x
8 + -1x = 8 + -1x

Add '-8' to each side of the equation.
8 + -8 + -1x = 8 + -8 + -1x

Combine like terms: 8 + -8 = 0
0 + -1x = 8 + -8 + -1x
-1x = 8 + -8 + -1x

Combine like terms: 8 + -8 = 0
-1x = 0 + -1x
-1x = -1x

Add 'x' to each side of the equation.
-1x + x = -1x + x

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

Combine like terms: -1x + x = 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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