3(x+2)+2(x+5)=26

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Solution for 3(x+2)+2(x+5)=26 equation:


Simplifying
3(x + 2) + 2(x + 5) = 26

Reorder the terms:
3(2 + x) + 2(x + 5) = 26
(2 * 3 + x * 3) + 2(x + 5) = 26
(6 + 3x) + 2(x + 5) = 26

Reorder the terms:
6 + 3x + 2(5 + x) = 26
6 + 3x + (5 * 2 + x * 2) = 26
6 + 3x + (10 + 2x) = 26

Reorder the terms:
6 + 10 + 3x + 2x = 26

Combine like terms: 6 + 10 = 16
16 + 3x + 2x = 26

Combine like terms: 3x + 2x = 5x
16 + 5x = 26

Solving
16 + 5x = 26

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 5x = 26 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 26 + -16
5x = 26 + -16

Combine like terms: 26 + -16 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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