3(x+6)=5x+22

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


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

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

Reorder the terms:
18 + 3x = 22 + 5x

Solving
18 + 3x = 22 + 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 = 22 + 5x + -5x

Combine like terms: 3x + -5x = -2x
18 + -2x = 22 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -2x = 22 + 0
18 + -2x = 22

Add '-18' to each side of the equation.
18 + -18 + -2x = 22 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = 22 + -18
-2x = 22 + -18

Combine like terms: 22 + -18 = 4
-2x = 4

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

Simplifying
x = -2

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