5x-2=-3x-15

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Solution for 5x-2=-3x-15 equation:


Simplifying
5x + -2 = -3x + -15

Reorder the terms:
-2 + 5x = -3x + -15

Reorder the terms:
-2 + 5x = -15 + -3x

Solving
-2 + 5x = -15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 5x + 3x = -15 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-2 + 8x = -15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 8x = -15 + 0
-2 + 8x = -15

Add '2' to each side of the equation.
-2 + 2 + 8x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -15 + 2
8x = -15 + 2

Combine like terms: -15 + 2 = -13
8x = -13

Divide each side by '8'.
x = -1.625

Simplifying
x = -1.625

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