15+2(q-1)=3(2q+1)-18

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Solution for 15+2(q-1)=3(2q+1)-18 equation:


Simplifying
15 + 2(q + -1) = 3(2q + 1) + -18

Reorder the terms:
15 + 2(-1 + q) = 3(2q + 1) + -18
15 + (-1 * 2 + q * 2) = 3(2q + 1) + -18
15 + (-2 + 2q) = 3(2q + 1) + -18

Combine like terms: 15 + -2 = 13
13 + 2q = 3(2q + 1) + -18

Reorder the terms:
13 + 2q = 3(1 + 2q) + -18
13 + 2q = (1 * 3 + 2q * 3) + -18
13 + 2q = (3 + 6q) + -18

Reorder the terms:
13 + 2q = 3 + -18 + 6q

Combine like terms: 3 + -18 = -15
13 + 2q = -15 + 6q

Solving
13 + 2q = -15 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
13 + 2q + -6q = -15 + 6q + -6q

Combine like terms: 2q + -6q = -4q
13 + -4q = -15 + 6q + -6q

Combine like terms: 6q + -6q = 0
13 + -4q = -15 + 0
13 + -4q = -15

Add '-13' to each side of the equation.
13 + -13 + -4q = -15 + -13

Combine like terms: 13 + -13 = 0
0 + -4q = -15 + -13
-4q = -15 + -13

Combine like terms: -15 + -13 = -28
-4q = -28

Divide each side by '-4'.
q = 7

Simplifying
q = 7

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