2x-13=-5x-2

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


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

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

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

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

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

Combine like terms: -5x + 5x = 0
-13 + 7x = -2 + 0
-13 + 7x = -2

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

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

Combine like terms: -2 + 13 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571

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