5(x+2)-3(x-1)=33

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Solution for 5(x+2)-3(x-1)=33 equation: 


Simplifying
5(x + 2) + -3(x + -1) = 33

Reorder the terms:
5(2 + x) + -3(x + -1) = 33
(2 * 5 + x * 5) + -3(x + -1) = 33
(10 + 5x) + -3(x + -1) = 33

Reorder the terms:
10 + 5x + -3(-1 + x) = 33
10 + 5x + (-1 * -3 + x * -3) = 33
10 + 5x + (3 + -3x) = 33

Reorder the terms:
10 + 3 + 5x + -3x = 33

Combine like terms: 10 + 3 = 13
13 + 5x + -3x = 33

Combine like terms: 5x + -3x = 2x
13 + 2x = 33

Solving
13 + 2x = 33

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 33 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 33 + -13
2x = 33 + -13

Combine like terms: 33 + -13 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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