5(x+3)+2(x+1)=38

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Solution for 5(x+3)+2(x+1)=38 equation:


Simplifying
5(x + 3) + 2(x + 1) = 38

Reorder the terms:
5(3 + x) + 2(x + 1) = 38
(3 * 5 + x * 5) + 2(x + 1) = 38
(15 + 5x) + 2(x + 1) = 38

Reorder the terms:
15 + 5x + 2(1 + x) = 38
15 + 5x + (1 * 2 + x * 2) = 38
15 + 5x + (2 + 2x) = 38

Reorder the terms:
15 + 2 + 5x + 2x = 38

Combine like terms: 15 + 2 = 17
17 + 5x + 2x = 38

Combine like terms: 5x + 2x = 7x
17 + 7x = 38

Solving
17 + 7x = 38

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 + 7x = 38 + -17

Combine like terms: 17 + -17 = 0
0 + 7x = 38 + -17
7x = 38 + -17

Combine like terms: 38 + -17 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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