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

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


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

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

Reorder the terms:
15 + 3x = -6(-4 + x)
15 + 3x = (-4 * -6 + x * -6)
15 + 3x = (24 + -6x)

Solving
15 + 3x = 24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
15 + 3x + 6x = 24 + -6x + 6x

Combine like terms: 3x + 6x = 9x
15 + 9x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
15 + 9x = 24 + 0
15 + 9x = 24

Add '-15' to each side of the equation.
15 + -15 + 9x = 24 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 24 + -15
9x = 24 + -15

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

Divide each side by '9'.
x = 1

Simplifying
x = 1

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