2(x+1)+3(x+5)=52

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Solution for 2(x+1)+3(x+5)=52 equation: 


Simplifying
2(x + 1) + 3(x + 5) = 52

Reorder the terms:
2(1 + x) + 3(x + 5) = 52
(1 * 2 + x * 2) + 3(x + 5) = 52
(2 + 2x) + 3(x + 5) = 52

Reorder the terms:
2 + 2x + 3(5 + x) = 52
2 + 2x + (5 * 3 + x * 3) = 52
2 + 2x + (15 + 3x) = 52

Reorder the terms:
2 + 15 + 2x + 3x = 52

Combine like terms: 2 + 15 = 17
17 + 2x + 3x = 52

Combine like terms: 2x + 3x = 5x
17 + 5x = 52

Solving
17 + 5x = 52

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 5x = 52 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 52 + -17
5x = 52 + -17

Combine like terms: 52 + -17 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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