2(x+5)+3(x+6)=10

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Solution for 2(x+5)+3(x+6)=10 equation: 


Simplifying
2(x + 5) + 3(x + 6) = 10

Reorder the terms:
2(5 + x) + 3(x + 6) = 10
(5 * 2 + x * 2) + 3(x + 6) = 10
(10 + 2x) + 3(x + 6) = 10

Reorder the terms:
10 + 2x + 3(6 + x) = 10
10 + 2x + (6 * 3 + x * 3) = 10
10 + 2x + (18 + 3x) = 10

Reorder the terms:
10 + 18 + 2x + 3x = 10

Combine like terms: 10 + 18 = 28
28 + 2x + 3x = 10

Combine like terms: 2x + 3x = 5x
28 + 5x = 10

Solving
28 + 5x = 10

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 5x = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 5x = 10 + -28
5x = 10 + -28

Combine like terms: 10 + -28 = -18
5x = -18

Divide each side by '5'.
x = -3.6

Simplifying
x = -3.6

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