6x-3(x-4)=x+24

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Solution for 6x-3(x-4)=x+24 equation:


Simplifying
6x + -3(x + -4) = x + 24

Reorder the terms:
6x + -3(-4 + x) = x + 24
6x + (-4 * -3 + x * -3) = x + 24
6x + (12 + -3x) = x + 24

Reorder the terms:
12 + 6x + -3x = x + 24

Combine like terms: 6x + -3x = 3x
12 + 3x = x + 24

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

Solving
12 + 3x = 24 + x

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

Combine like terms: 3x + -1x = 2x
12 + 2x = 24 + x + -1x

Combine like terms: x + -1x = 0
12 + 2x = 24 + 0
12 + 2x = 24

Add '-12' to each side of the equation.
12 + -12 + 2x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 24 + -12
2x = 24 + -12

Combine like terms: 24 + -12 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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