5-2x=7x-13

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Solution for 5-2x=7x-13 equation:


Simplifying
5 + -2x = 7x + -13

Reorder the terms:
5 + -2x = -13 + 7x

Solving
5 + -2x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + -2x + -7x = -13 + 7x + -7x

Combine like terms: -2x + -7x = -9x
5 + -9x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -9x = -13 + 0
5 + -9x = -13

Add '-5' to each side of the equation.
5 + -5 + -9x = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -13 + -5
-9x = -13 + -5

Combine like terms: -13 + -5 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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