(12x+16)=-10-3(x+2)

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Solution for (12x+16)=-10-3(x+2) equation: 


Simplifying
(12x + 16) = -10 + -3(x + 2)

Reorder the terms:
(16 + 12x) = -10 + -3(x + 2)

Remove parenthesis around (16 + 12x)
16 + 12x = -10 + -3(x + 2)

Reorder the terms:
16 + 12x = -10 + -3(2 + x)
16 + 12x = -10 + (2 * -3 + x * -3)
16 + 12x = -10 + (-6 + -3x)

Combine like terms: -10 + -6 = -16
16 + 12x = -16 + -3x

Solving
16 + 12x = -16 + -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.
16 + 12x + 3x = -16 + -3x + 3x

Combine like terms: 12x + 3x = 15x
16 + 15x = -16 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 15x = -16 + 0
16 + 15x = -16

Add '-16' to each side of the equation.
16 + -16 + 15x = -16 + -16

Combine like terms: 16 + -16 = 0
0 + 15x = -16 + -16
15x = -16 + -16

Combine like terms: -16 + -16 = -32
15x = -32

Divide each side by '15'.
x = -2.133333333

Simplifying
x = -2.133333333

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