3(4x+5)=-6(x+2)

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Solution for 3(4x+5)=-6(x+2) equation:


Simplifying
3(4x + 5) = -6(x + 2)

Reorder the terms:
3(5 + 4x) = -6(x + 2)
(5 * 3 + 4x * 3) = -6(x + 2)
(15 + 12x) = -6(x + 2)

Reorder the terms:
15 + 12x = -6(2 + x)
15 + 12x = (2 * -6 + x * -6)
15 + 12x = (-12 + -6x)

Solving
15 + 12x = -12 + -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 + 12x + 6x = -12 + -6x + 6x

Combine like terms: 12x + 6x = 18x
15 + 18x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
15 + 18x = -12 + 0
15 + 18x = -12

Add '-15' to each side of the equation.
15 + -15 + 18x = -12 + -15

Combine like terms: 15 + -15 = 0
0 + 18x = -12 + -15
18x = -12 + -15

Combine like terms: -12 + -15 = -27
18x = -27

Divide each side by '18'.
x = -1.5

Simplifying
x = -1.5

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