2(3x+6)-4(x-2)=24

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Solution for 2(3x+6)-4(x-2)=24 equation:


Simplifying
2(3x + 6) + -4(x + -2) = 24

Reorder the terms:
2(6 + 3x) + -4(x + -2) = 24
(6 * 2 + 3x * 2) + -4(x + -2) = 24
(12 + 6x) + -4(x + -2) = 24

Reorder the terms:
12 + 6x + -4(-2 + x) = 24
12 + 6x + (-2 * -4 + x * -4) = 24
12 + 6x + (8 + -4x) = 24

Reorder the terms:
12 + 8 + 6x + -4x = 24

Combine like terms: 12 + 8 = 20
20 + 6x + -4x = 24

Combine like terms: 6x + -4x = 2x
20 + 2x = 24

Solving
20 + 2x = 24

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 2x = 24 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 24 + -20
2x = 24 + -20

Combine like terms: 24 + -20 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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