2(x+8)-3(6-x)=24

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Solution for 2(x+8)-3(6-x)=24 equation:


Simplifying
2(x + 8) + -3(6 + -1x) = 24

Reorder the terms:
2(8 + x) + -3(6 + -1x) = 24
(8 * 2 + x * 2) + -3(6 + -1x) = 24
(16 + 2x) + -3(6 + -1x) = 24
16 + 2x + (6 * -3 + -1x * -3) = 24
16 + 2x + (-18 + 3x) = 24

Reorder the terms:
16 + -18 + 2x + 3x = 24

Combine like terms: 16 + -18 = -2
-2 + 2x + 3x = 24

Combine like terms: 2x + 3x = 5x
-2 + 5x = 24

Solving
-2 + 5x = 24

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 24 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 24 + 2
5x = 24 + 2

Combine like terms: 24 + 2 = 26
5x = 26

Divide each side by '5'.
x = 5.2

Simplifying
x = 5.2

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