(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

Add '-16' to each side of the equation.
16 + -16 + 12x = 16 + -16 + -3x

Combine like terms: 16 + -16 = 0
0 + 12x = 16 + -16 + -3x
12x = 16 + -16 + -3x

Combine like terms: 16 + -16 = 0
12x = 0 + -3x
12x = -3x

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

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

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

Divide each side by '15'.
x = 0

Simplifying
x = 0

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