5x-1=-2x+13

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Solution for 5x-1=-2x+13 equation:


Simplifying
5x + -1 = -2x + 13

Reorder the terms:
-1 + 5x = -2x + 13

Reorder the terms:
-1 + 5x = 13 + -2x

Solving
-1 + 5x = 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.
-1 + 5x + 2x = 13 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-1 + 7x = 13 + -2x + 2x

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

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

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

Combine like terms: 13 + 1 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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