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

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


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

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

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

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

Combine like terms: -10 + 3 = -7
-7 + 5q + 3q = 33

Combine like terms: 5q + 3q = 8q
-7 + 8q = 33

Solving
-7 + 8q = 33

Solving for variable 'q'.

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

Add '7' to each side of the equation.
-7 + 7 + 8q = 33 + 7

Combine like terms: -7 + 7 = 0
0 + 8q = 33 + 7
8q = 33 + 7

Combine like terms: 33 + 7 = 40
8q = 40

Divide each side by '8'.
q = 5

Simplifying
q = 5

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