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

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


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

Reorder the terms:
5(3 + x) + 6(2 + x) = 15
(3 * 5 + x * 5) + 6(2 + x) = 15
(15 + 5x) + 6(2 + x) = 15
15 + 5x + (2 * 6 + x * 6) = 15
15 + 5x + (12 + 6x) = 15

Reorder the terms:
15 + 12 + 5x + 6x = 15

Combine like terms: 15 + 12 = 27
27 + 5x + 6x = 15

Combine like terms: 5x + 6x = 11x
27 + 11x = 15

Solving
27 + 11x = 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 + 11x = 15 + -27

Combine like terms: 27 + -27 = 0
0 + 11x = 15 + -27
11x = 15 + -27

Combine like terms: 15 + -27 = -12
11x = -12

Divide each side by '11'.
x = -1.090909091

Simplifying
x = -1.090909091

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