7(3q-5)-7=7(2q-8)

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Solution for 7(3q-5)-7=7(2q-8) equation:


Simplifying
7(3q + -5) + -7 = 7(2q + -8)

Reorder the terms:
7(-5 + 3q) + -7 = 7(2q + -8)
(-5 * 7 + 3q * 7) + -7 = 7(2q + -8)
(-35 + 21q) + -7 = 7(2q + -8)

Reorder the terms:
-35 + -7 + 21q = 7(2q + -8)

Combine like terms: -35 + -7 = -42
-42 + 21q = 7(2q + -8)

Reorder the terms:
-42 + 21q = 7(-8 + 2q)
-42 + 21q = (-8 * 7 + 2q * 7)
-42 + 21q = (-56 + 14q)

Solving
-42 + 21q = -56 + 14q

Solving for variable 'q'.

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

Add '-14q' to each side of the equation.
-42 + 21q + -14q = -56 + 14q + -14q

Combine like terms: 21q + -14q = 7q
-42 + 7q = -56 + 14q + -14q

Combine like terms: 14q + -14q = 0
-42 + 7q = -56 + 0
-42 + 7q = -56

Add '42' to each side of the equation.
-42 + 42 + 7q = -56 + 42

Combine like terms: -42 + 42 = 0
0 + 7q = -56 + 42
7q = -56 + 42

Combine like terms: -56 + 42 = -14
7q = -14

Divide each side by '7'.
q = -2

Simplifying
q = -2

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