7x-5=-2x+13

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


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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 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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