5x+15=-3x-17

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Solution for 5x+15=-3x-17 equation:


Simplifying
5x + 15 = -3x + -17

Reorder the terms:
15 + 5x = -3x + -17

Reorder the terms:
15 + 5x = -17 + -3x

Solving
15 + 5x = -17 + -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.
15 + 5x + 3x = -17 + -3x + 3x

Combine like terms: 5x + 3x = 8x
15 + 8x = -17 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 8x = -17 + 0
15 + 8x = -17

Add '-15' to each side of the equation.
15 + -15 + 8x = -17 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = -17 + -15
8x = -17 + -15

Combine like terms: -17 + -15 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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