5(x+2)+2x=38

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


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

Reorder the terms:
5(2 + x) + 2x = 38
(2 * 5 + x * 5) + 2x = 38
(10 + 5x) + 2x = 38

Combine like terms: 5x + 2x = 7x
10 + 7x = 38

Solving
10 + 7x = 38

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 7x = 38 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 38 + -10
7x = 38 + -10

Combine like terms: 38 + -10 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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