3(x-12)=-x+4

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


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

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

Reorder the terms:
-36 + 3x = 4 + -1x

Solving
-36 + 3x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-36 + 3x + x = 4 + -1x + x

Combine like terms: 3x + x = 4x
-36 + 4x = 4 + -1x + x

Combine like terms: -1x + x = 0
-36 + 4x = 4 + 0
-36 + 4x = 4

Add '36' to each side of the equation.
-36 + 36 + 4x = 4 + 36

Combine like terms: -36 + 36 = 0
0 + 4x = 4 + 36
4x = 4 + 36

Combine like terms: 4 + 36 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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