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

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


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

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

Reorder the terms:
15 + 3x + -2(2 + x) = 5
15 + 3x + (2 * -2 + x * -2) = 5
15 + 3x + (-4 + -2x) = 5

Reorder the terms:
15 + -4 + 3x + -2x = 5

Combine like terms: 15 + -4 = 11
11 + 3x + -2x = 5

Combine like terms: 3x + -2x = 1x
11 + 1x = 5

Solving
11 + 1x = 5

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 1x = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 5 + -11
1x = 5 + -11

Combine like terms: 5 + -11 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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