3(2x+5)-6=-33

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Solution for 3(2x+5)-6=-33 equation:


Simplifying
3(2x + 5) + -6 = -33

Reorder the terms:
3(5 + 2x) + -6 = -33
(5 * 3 + 2x * 3) + -6 = -33
(15 + 6x) + -6 = -33

Reorder the terms:
15 + -6 + 6x = -33

Combine like terms: 15 + -6 = 9
9 + 6x = -33

Solving
9 + 6x = -33

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 6x = -33 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = -33 + -9
6x = -33 + -9

Combine like terms: -33 + -9 = -42
6x = -42

Divide each side by '6'.
x = -7

Simplifying
x = -7

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