8+5(3q-4)=7(1q-12)

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Solution for 8+5(3q-4)=7(1q-12) equation:


Simplifying
8 + 5(3q + -4) = 7(1q + -12)

Reorder the terms:
8 + 5(-4 + 3q) = 7(1q + -12)
8 + (-4 * 5 + 3q * 5) = 7(1q + -12)
8 + (-20 + 15q) = 7(1q + -12)

Combine like terms: 8 + -20 = -12
-12 + 15q = 7(1q + -12)

Reorder the terms:
-12 + 15q = 7(-12 + 1q)
-12 + 15q = (-12 * 7 + 1q * 7)
-12 + 15q = (-84 + 7q)

Solving
-12 + 15q = -84 + 7q

Solving for variable 'q'.

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

Add '-7q' to each side of the equation.
-12 + 15q + -7q = -84 + 7q + -7q

Combine like terms: 15q + -7q = 8q
-12 + 8q = -84 + 7q + -7q

Combine like terms: 7q + -7q = 0
-12 + 8q = -84 + 0
-12 + 8q = -84

Add '12' to each side of the equation.
-12 + 12 + 8q = -84 + 12

Combine like terms: -12 + 12 = 0
0 + 8q = -84 + 12
8q = -84 + 12

Combine like terms: -84 + 12 = -72
8q = -72

Divide each side by '8'.
q = -9

Simplifying
q = -9

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