3(x+5)+2(x+6)=15

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Solution for 3(x+5)+2(x+6)=15 equation: 


Simplifying
3(x + 5) + 2(x + 6) = 15

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

Reorder the terms:
15 + 3x + 2(6 + x) = 15
15 + 3x + (6 * 2 + x * 2) = 15
15 + 3x + (12 + 2x) = 15

Reorder the terms:
15 + 12 + 3x + 2x = 15

Combine like terms: 15 + 12 = 27
27 + 3x + 2x = 15

Combine like terms: 3x + 2x = 5x
27 + 5x = 15

Solving
27 + 5x = 15

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 5x = 15 + -27

Combine like terms: 27 + -27 = 0
0 + 5x = 15 + -27
5x = 15 + -27

Combine like terms: 15 + -27 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

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