3x+10=-5x-19

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Solution for 3x+10=-5x-19 equation:


Simplifying
3x + 10 = -5x + -19

Reorder the terms:
10 + 3x = -5x + -19

Reorder the terms:
10 + 3x = -19 + -5x

Solving
10 + 3x = -19 + -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.
10 + 3x + 5x = -19 + -5x + 5x

Combine like terms: 3x + 5x = 8x
10 + 8x = -19 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 8x = -19 + 0
10 + 8x = -19

Add '-10' to each side of the equation.
10 + -10 + 8x = -19 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = -19 + -10
8x = -19 + -10

Combine like terms: -19 + -10 = -29
8x = -29

Divide each side by '8'.
x = -3.625

Simplifying
x = -3.625

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