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

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


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

Reorder the terms:
5(3 + x) + x = -4(x + -6)
(3 * 5 + x * 5) + x = -4(x + -6)
(15 + 5x) + x = -4(x + -6)

Combine like terms: 5x + x = 6x
15 + 6x = -4(x + -6)

Reorder the terms:
15 + 6x = -4(-6 + x)
15 + 6x = (-6 * -4 + x * -4)
15 + 6x = (24 + -4x)

Solving
15 + 6x = 24 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + 6x + 4x = 24 + -4x + 4x

Combine like terms: 6x + 4x = 10x
15 + 10x = 24 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 10x = 24 + 0
15 + 10x = 24

Add '-15' to each side of the equation.
15 + -15 + 10x = 24 + -15

Combine like terms: 15 + -15 = 0
0 + 10x = 24 + -15
10x = 24 + -15

Combine like terms: 24 + -15 = 9
10x = 9

Divide each side by '10'.
x = 0.9

Simplifying
x = 0.9

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