5x+13-4x=8+3x-7

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Solution for 5x+13-4x=8+3x-7 equation:


Simplifying
5x + 13 + -4x = 8 + 3x + -7

Reorder the terms:
13 + 5x + -4x = 8 + 3x + -7

Combine like terms: 5x + -4x = 1x
13 + 1x = 8 + 3x + -7

Reorder the terms:
13 + 1x = 8 + -7 + 3x

Combine like terms: 8 + -7 = 1
13 + 1x = 1 + 3x

Solving
13 + 1x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + 1x + -3x = 1 + 3x + -3x

Combine like terms: 1x + -3x = -2x
13 + -2x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -2x = 1 + 0
13 + -2x = 1

Add '-13' to each side of the equation.
13 + -13 + -2x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 1 + -13
-2x = 1 + -13

Combine like terms: 1 + -13 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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