5(x+6)-3(x+2)=6

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Solution for 5(x+6)-3(x+2)=6 equation:


Simplifying
5(x + 6) + -3(x + 2) = 6

Reorder the terms:
5(6 + x) + -3(x + 2) = 6
(6 * 5 + x * 5) + -3(x + 2) = 6
(30 + 5x) + -3(x + 2) = 6

Reorder the terms:
30 + 5x + -3(2 + x) = 6
30 + 5x + (2 * -3 + x * -3) = 6
30 + 5x + (-6 + -3x) = 6

Reorder the terms:
30 + -6 + 5x + -3x = 6

Combine like terms: 30 + -6 = 24
24 + 5x + -3x = 6

Combine like terms: 5x + -3x = 2x
24 + 2x = 6

Solving
24 + 2x = 6

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 + 2x = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 6 + -24
2x = 6 + -24

Combine like terms: 6 + -24 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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