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

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


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

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

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

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

Reorder the terms:
15 + 4x = 4 + -5 + 2x

Combine like terms: 4 + -5 = -1
15 + 4x = -1 + 2x

Solving
15 + 4x = -1 + 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 = -1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
15 + 2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 2x = -1 + 0
15 + 2x = -1

Add '-15' to each side of the equation.
15 + -15 + 2x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -1 + -15
2x = -1 + -15

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

Divide each side by '2'.
x = -8

Simplifying
x = -8

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