3x+13=-5x-20

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Solution for 3x+13=-5x-20 equation:


Simplifying
3x + 13 = -5x + -20

Reorder the terms:
13 + 3x = -5x + -20

Reorder the terms:
13 + 3x = -20 + -5x

Solving
13 + 3x = -20 + -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 + 3x + 5x = -20 + -5x + 5x

Combine like terms: 3x + 5x = 8x
13 + 8x = -20 + -5x + 5x

Combine like terms: -5x + 5x = 0
13 + 8x = -20 + 0
13 + 8x = -20

Add '-13' to each side of the equation.
13 + -13 + 8x = -20 + -13

Combine like terms: 13 + -13 = 0
0 + 8x = -20 + -13
8x = -20 + -13

Combine like terms: -20 + -13 = -33
8x = -33

Divide each side by '8'.
x = -4.125

Simplifying
x = -4.125

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