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

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


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

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

Combine like terms: 3x + x = 4x
15 + 4x = 2(x + 5) + 6

Reorder the terms:
15 + 4x = 2(5 + x) + 6
15 + 4x = (5 * 2 + x * 2) + 6
15 + 4x = (10 + 2x) + 6

Reorder the terms:
15 + 4x = 10 + 6 + 2x

Combine like terms: 10 + 6 = 16
15 + 4x = 16 + 2x

Solving
15 + 4x = 16 + 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 = 16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
15 + 2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 2x = 16 + 0
15 + 2x = 16

Add '-15' to each side of the equation.
15 + -15 + 2x = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 16 + -15
2x = 16 + -15

Combine like terms: 16 + -15 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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