5(x+4)+10=-5(3x-6)

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Solution for 5(x+4)+10=-5(3x-6) equation:


Simplifying
5(x + 4) + 10 = -5(3x + -6)

Reorder the terms:
5(4 + x) + 10 = -5(3x + -6)
(4 * 5 + x * 5) + 10 = -5(3x + -6)
(20 + 5x) + 10 = -5(3x + -6)

Reorder the terms:
20 + 10 + 5x = -5(3x + -6)

Combine like terms: 20 + 10 = 30
30 + 5x = -5(3x + -6)

Reorder the terms:
30 + 5x = -5(-6 + 3x)
30 + 5x = (-6 * -5 + 3x * -5)
30 + 5x = (30 + -15x)

Add '-30' to each side of the equation.
30 + -30 + 5x = 30 + -30 + -15x

Combine like terms: 30 + -30 = 0
0 + 5x = 30 + -30 + -15x
5x = 30 + -30 + -15x

Combine like terms: 30 + -30 = 0
5x = 0 + -15x
5x = -15x

Solving
5x = -15x

Solving for variable 'x'.

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

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

Combine like terms: 5x + 15x = 20x
20x = -15x + 15x

Combine like terms: -15x + 15x = 0
20x = 0

Divide each side by '20'.
x = 0.0

Simplifying
x = 0.0

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