2(q-3)+5q=8(q-1)

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Solution for 2(q-3)+5q=8(q-1) equation:


Simplifying
2(q + -3) + 5q = 8(q + -1)

Reorder the terms:
2(-3 + q) + 5q = 8(q + -1)
(-3 * 2 + q * 2) + 5q = 8(q + -1)
(-6 + 2q) + 5q = 8(q + -1)

Combine like terms: 2q + 5q = 7q
-6 + 7q = 8(q + -1)

Reorder the terms:
-6 + 7q = 8(-1 + q)
-6 + 7q = (-1 * 8 + q * 8)
-6 + 7q = (-8 + 8q)

Solving
-6 + 7q = -8 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
-6 + 7q + -8q = -8 + 8q + -8q

Combine like terms: 7q + -8q = -1q
-6 + -1q = -8 + 8q + -8q

Combine like terms: 8q + -8q = 0
-6 + -1q = -8 + 0
-6 + -1q = -8

Add '6' to each side of the equation.
-6 + 6 + -1q = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -1q = -8 + 6
-1q = -8 + 6

Combine like terms: -8 + 6 = -2
-1q = -2

Divide each side by '-1'.
q = 2

Simplifying
q = 2

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