(5x+2)-3(-3x-2)=36

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Solution for (5x+2)-3(-3x-2)=36 equation:


Simplifying
(5x + 2) + -3(-3x + -2) = 36

Reorder the terms:
(2 + 5x) + -3(-3x + -2) = 36

Remove parenthesis around (2 + 5x)
2 + 5x + -3(-3x + -2) = 36

Reorder the terms:
2 + 5x + -3(-2 + -3x) = 36
2 + 5x + (-2 * -3 + -3x * -3) = 36
2 + 5x + (6 + 9x) = 36

Reorder the terms:
2 + 6 + 5x + 9x = 36

Combine like terms: 2 + 6 = 8
8 + 5x + 9x = 36

Combine like terms: 5x + 9x = 14x
8 + 14x = 36

Solving
8 + 14x = 36

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 14x = 36 + -8

Combine like terms: 8 + -8 = 0
0 + 14x = 36 + -8
14x = 36 + -8

Combine like terms: 36 + -8 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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