7-3x=5x-13

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Solution for 7-3x=5x-13 equation:


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

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

Solving
7 + -3x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + -3x + -5x = -13 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
7 + -8x = -13 + 0
7 + -8x = -13

Add '-7' to each side of the equation.
7 + -7 + -8x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -13 + -7
-8x = -13 + -7

Combine like terms: -13 + -7 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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