-4x+3=5x-13-x

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


Simplifying
-4x + 3 = 5x + -13 + -1x

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

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

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

Solving
3 + -4x = -13 + 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.
3 + -4x + -4x = -13 + 4x + -4x

Combine like terms: -4x + -4x = -8x
3 + -8x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -8x = -13 + 0
3 + -8x = -13

Add '-3' to each side of the equation.
3 + -3 + -8x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -13 + -3
-8x = -13 + -3

Combine like terms: -13 + -3 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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