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

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


Simplifying
5(3 + -1x) + -2(6 + -5x) = 33
(3 * 5 + -1x * 5) + -2(6 + -5x) = 33
(15 + -5x) + -2(6 + -5x) = 33
15 + -5x + (6 * -2 + -5x * -2) = 33
15 + -5x + (-12 + 10x) = 33

Reorder the terms:
15 + -12 + -5x + 10x = 33

Combine like terms: 15 + -12 = 3
3 + -5x + 10x = 33

Combine like terms: -5x + 10x = 5x
3 + 5x = 33

Solving
3 + 5x = 33

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 33 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 33 + -3
5x = 33 + -3

Combine like terms: 33 + -3 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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