5(x+10)=-3x-30

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Solution for 5(x+10)=-3x-30 equation:


Simplifying
5(x + 10) = -3x + -30

Reorder the terms:
5(10 + x) = -3x + -30
(10 * 5 + x * 5) = -3x + -30
(50 + 5x) = -3x + -30

Reorder the terms:
50 + 5x = -30 + -3x

Solving
50 + 5x = -30 + -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.
50 + 5x + 3x = -30 + -3x + 3x

Combine like terms: 5x + 3x = 8x
50 + 8x = -30 + -3x + 3x

Combine like terms: -3x + 3x = 0
50 + 8x = -30 + 0
50 + 8x = -30

Add '-50' to each side of the equation.
50 + -50 + 8x = -30 + -50

Combine like terms: 50 + -50 = 0
0 + 8x = -30 + -50
8x = -30 + -50

Combine like terms: -30 + -50 = -80
8x = -80

Divide each side by '8'.
x = -10

Simplifying
x = -10

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