3x+13-x=7+4x-6

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Solution for 3x+13-x=7+4x-6 equation:


Simplifying
3x + 13 + -1x = 7 + 4x + -6

Reorder the terms:
13 + 3x + -1x = 7 + 4x + -6

Combine like terms: 3x + -1x = 2x
13 + 2x = 7 + 4x + -6

Reorder the terms:
13 + 2x = 7 + -6 + 4x

Combine like terms: 7 + -6 = 1
13 + 2x = 1 + 4x

Solving
13 + 2x = 1 + 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.
13 + 2x + -4x = 1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
13 + -2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 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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