6x+3(4-x)=-x+72

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Solution for 6x+3(4-x)=-x+72 equation:


Simplifying
6x + 3(4 + -1x) = -1x + 72
6x + (4 * 3 + -1x * 3) = -1x + 72
6x + (12 + -3x) = -1x + 72

Reorder the terms:
12 + 6x + -3x = -1x + 72

Combine like terms: 6x + -3x = 3x
12 + 3x = -1x + 72

Reorder the terms:
12 + 3x = 72 + -1x

Solving
12 + 3x = 72 + -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 = 72 + -1x + x

Combine like terms: 3x + x = 4x
12 + 4x = 72 + -1x + x

Combine like terms: -1x + x = 0
12 + 4x = 72 + 0
12 + 4x = 72

Add '-12' to each side of the equation.
12 + -12 + 4x = 72 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 72 + -12
4x = 72 + -12

Combine like terms: 72 + -12 = 60
4x = 60

Divide each side by '4'.
x = 15

Simplifying
x = 15

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