.25(12x+16)=10-3(x-2)

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Solution for .25(12x+16)=10-3(x-2) equation:


Simplifying
0.25(12x + 16) = 10 + -3(x + -2)

Reorder the terms:
0.25(16 + 12x) = 10 + -3(x + -2)
(16 * 0.25 + 12x * 0.25) = 10 + -3(x + -2)
(4 + 3x) = 10 + -3(x + -2)

Reorder the terms:
4 + 3x = 10 + -3(-2 + x)
4 + 3x = 10 + (-2 * -3 + x * -3)
4 + 3x = 10 + (6 + -3x)

Combine like terms: 10 + 6 = 16
4 + 3x = 16 + -3x

Solving
4 + 3x = 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.
4 + 3x + 3x = 16 + -3x + 3x

Combine like terms: 3x + 3x = 6x
4 + 6x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 6x = 16 + 0
4 + 6x = 16

Add '-4' to each side of the equation.
4 + -4 + 6x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 16 + -4
6x = 16 + -4

Combine like terms: 16 + -4 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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