3x-7=x-13

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Solution for 3x-7=x-13 equation:


Simplifying
3x + -7 = x + -13

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

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

Solving
-7 + 3x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 3x + -1x = -13 + x + -1x

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

Combine like terms: x + -1x = 0
-7 + 2x = -13 + 0
-7 + 2x = -13

Add '7' to each side of the equation.
-7 + 7 + 2x = -13 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -13 + 7
2x = -13 + 7

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

Divide each side by '2'.
x = -3

Simplifying
x = -3

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