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

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


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

Reorder the terms:
3(5 + x) + 2(x + 3) = 26
(5 * 3 + x * 3) + 2(x + 3) = 26
(15 + 3x) + 2(x + 3) = 26

Reorder the terms:
15 + 3x + 2(3 + x) = 26
15 + 3x + (3 * 2 + x * 2) = 26
15 + 3x + (6 + 2x) = 26

Reorder the terms:
15 + 6 + 3x + 2x = 26

Combine like terms: 15 + 6 = 21
21 + 3x + 2x = 26

Combine like terms: 3x + 2x = 5x
21 + 5x = 26

Solving
21 + 5x = 26

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 5x = 26 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = 26 + -21
5x = 26 + -21

Combine like terms: 26 + -21 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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