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

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


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

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

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

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

Combine like terms: 15 + -6 = 9
9 + 5x + 3x = 33

Combine like terms: 5x + 3x = 8x
9 + 8x = 33

Solving
9 + 8x = 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 + 8x = 33 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 33 + -9
8x = 33 + -9

Combine like terms: 33 + -9 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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