5(x+3)+(x-2)2=39

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Solution for 5(x+3)+(x-2)2=39 equation:


Simplifying
5(x + 3) + (x + -2) * 2 = 39

Reorder the terms:
5(3 + x) + (x + -2) * 2 = 39
(3 * 5 + x * 5) + (x + -2) * 2 = 39
(15 + 5x) + (x + -2) * 2 = 39

Reorder the terms:
15 + 5x + (-2 + x) * 2 = 39

Reorder the terms for easier multiplication:
15 + 5x + 2(-2 + x) = 39
15 + 5x + (-2 * 2 + x * 2) = 39
15 + 5x + (-4 + 2x) = 39

Reorder the terms:
15 + -4 + 5x + 2x = 39

Combine like terms: 15 + -4 = 11
11 + 5x + 2x = 39

Combine like terms: 5x + 2x = 7x
11 + 7x = 39

Solving
11 + 7x = 39

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 7x = 39 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 39 + -11
7x = 39 + -11

Combine like terms: 39 + -11 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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