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

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


Simplifying
3(6 + x) = 2(x + -5)
(6 * 3 + x * 3) = 2(x + -5)
(18 + 3x) = 2(x + -5)

Reorder the terms:
18 + 3x = 2(-5 + x)
18 + 3x = (-5 * 2 + x * 2)
18 + 3x = (-10 + 2x)

Solving
18 + 3x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + 3x + -2x = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
18 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 1x = -10 + 0
18 + 1x = -10

Add '-18' to each side of the equation.
18 + -18 + 1x = -10 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = -10 + -18
1x = -10 + -18

Combine like terms: -10 + -18 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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