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

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


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

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

Combine like terms: -3x + 6x = 3x
15 + 3x = 33

Solving
15 + 3x = 33

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 3x = 33 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 33 + -15
3x = 33 + -15

Combine like terms: 33 + -15 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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