2x-5=-7x+13

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


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

Reorder the terms:
-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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