3(x+6)=22-5(x-4)

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Solution for 3(x+6)=22-5(x-4) equation:


Simplifying
3(x + 6) = 22 + -5(x + -4)

Reorder the terms:
3(6 + x) = 22 + -5(x + -4)
(6 * 3 + x * 3) = 22 + -5(x + -4)
(18 + 3x) = 22 + -5(x + -4)

Reorder the terms:
18 + 3x = 22 + -5(-4 + x)
18 + 3x = 22 + (-4 * -5 + x * -5)
18 + 3x = 22 + (20 + -5x)

Combine like terms: 22 + 20 = 42
18 + 3x = 42 + -5x

Solving
18 + 3x = 42 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
18 + 3x + 5x = 42 + -5x + 5x

Combine like terms: 3x + 5x = 8x
18 + 8x = 42 + -5x + 5x

Combine like terms: -5x + 5x = 0
18 + 8x = 42 + 0
18 + 8x = 42

Add '-18' to each side of the equation.
18 + -18 + 8x = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 8x = 42 + -18
8x = 42 + -18

Combine like terms: 42 + -18 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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