3(x-4)=-x+24

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Solution for 3(x-4)=-x+24 equation:


Simplifying
3(x + -4) = -1x + 24

Reorder the terms:
3(-4 + x) = -1x + 24
(-4 * 3 + x * 3) = -1x + 24
(-12 + 3x) = -1x + 24

Reorder the terms:
-12 + 3x = 24 + -1x

Solving
-12 + 3x = 24 + -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.
-12 + 3x + x = 24 + -1x + x

Combine like terms: 3x + x = 4x
-12 + 4x = 24 + -1x + x

Combine like terms: -1x + x = 0
-12 + 4x = 24 + 0
-12 + 4x = 24

Add '12' to each side of the equation.
-12 + 12 + 4x = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 24 + 12
4x = 24 + 12

Combine like terms: 24 + 12 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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