2(3x+6)-3(x-4)=48

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Solution for 2(3x+6)-3(x-4)=48 equation:


Simplifying
2(3x + 6) + -3(x + -4) = 48

Reorder the terms:
2(6 + 3x) + -3(x + -4) = 48
(6 * 2 + 3x * 2) + -3(x + -4) = 48
(12 + 6x) + -3(x + -4) = 48

Reorder the terms:
12 + 6x + -3(-4 + x) = 48
12 + 6x + (-4 * -3 + x * -3) = 48
12 + 6x + (12 + -3x) = 48

Reorder the terms:
12 + 12 + 6x + -3x = 48

Combine like terms: 12 + 12 = 24
24 + 6x + -3x = 48

Combine like terms: 6x + -3x = 3x
24 + 3x = 48

Solving
24 + 3x = 48

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 3x = 48 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 48 + -24
3x = 48 + -24

Combine like terms: 48 + -24 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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