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

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


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

Reorder the terms:
3(5 + x) + x = 2(x + 6)
(5 * 3 + x * 3) + x = 2(x + 6)
(15 + 3x) + x = 2(x + 6)

Combine like terms: 3x + x = 4x
15 + 4x = 2(x + 6)

Reorder the terms:
15 + 4x = 2(6 + x)
15 + 4x = (6 * 2 + x * 2)
15 + 4x = (12 + 2x)

Solving
15 + 4x = 12 + 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.
15 + 4x + -2x = 12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
15 + 2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 2x = 12 + 0
15 + 2x = 12

Add '-15' to each side of the equation.
15 + -15 + 2x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 12 + -15
2x = 12 + -15

Combine like terms: 12 + -15 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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