3(x+5)+2(x+1)-3x=22

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Solution for 3(x+5)+2(x+1)-3x=22 equation: 


Simplifying
3(x + 5) + 2(x + 1) + -3x = 22

Reorder the terms:
3(5 + x) + 2(x + 1) + -3x = 22
(5 * 3 + x * 3) + 2(x + 1) + -3x = 22
(15 + 3x) + 2(x + 1) + -3x = 22

Reorder the terms:
15 + 3x + 2(1 + x) + -3x = 22
15 + 3x + (1 * 2 + x * 2) + -3x = 22
15 + 3x + (2 + 2x) + -3x = 22

Reorder the terms:
15 + 2 + 3x + 2x + -3x = 22

Combine like terms: 15 + 2 = 17
17 + 3x + 2x + -3x = 22

Combine like terms: 3x + 2x = 5x
17 + 5x + -3x = 22

Combine like terms: 5x + -3x = 2x
17 + 2x = 22

Solving
17 + 2x = 22

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 2x = 22 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 22 + -17
2x = 22 + -17

Combine like terms: 22 + -17 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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