6(x+2)-3(x+8)=40

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Solution for 6(x+2)-3(x+8)=40 equation: 


Simplifying
6(x + 2) + -3(x + 8) = 40

Reorder the terms:
6(2 + x) + -3(x + 8) = 40
(2 * 6 + x * 6) + -3(x + 8) = 40
(12 + 6x) + -3(x + 8) = 40

Reorder the terms:
12 + 6x + -3(8 + x) = 40
12 + 6x + (8 * -3 + x * -3) = 40
12 + 6x + (-24 + -3x) = 40

Reorder the terms:
12 + -24 + 6x + -3x = 40

Combine like terms: 12 + -24 = -12
-12 + 6x + -3x = 40

Combine like terms: 6x + -3x = 3x
-12 + 3x = 40

Solving
-12 + 3x = 40

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = 40 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 40 + 12
3x = 40 + 12

Combine like terms: 40 + 12 = 52
3x = 52

Divide each side by '3'.
x = 17.33333333

Simplifying
x = 17.33333333

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