12(x-3)+4x=-(-x+1)

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Solution for 12(x-3)+4x=-(-x+1) equation:


Simplifying
12(x + -3) + 4x = -1(-1x + 1)

Reorder the terms:
12(-3 + x) + 4x = -1(-1x + 1)
(-3 * 12 + x * 12) + 4x = -1(-1x + 1)
(-36 + 12x) + 4x = -1(-1x + 1)

Combine like terms: 12x + 4x = 16x
-36 + 16x = -1(-1x + 1)

Reorder the terms:
-36 + 16x = -1(1 + -1x)
-36 + 16x = (1 * -1 + -1x * -1)
-36 + 16x = (-1 + 1x)

Solving
-36 + 16x = -1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-36 + 16x + -1x = -1 + 1x + -1x

Combine like terms: 16x + -1x = 15x
-36 + 15x = -1 + 1x + -1x

Combine like terms: 1x + -1x = 0
-36 + 15x = -1 + 0
-36 + 15x = -1

Add '36' to each side of the equation.
-36 + 36 + 15x = -1 + 36

Combine like terms: -36 + 36 = 0
0 + 15x = -1 + 36
15x = -1 + 36

Combine like terms: -1 + 36 = 35
15x = 35

Divide each side by '15'.
x = 2.333333333

Simplifying
x = 2.333333333

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