10q+8=3q-38

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Solution for 10q+8=3q-38 equation:


Simplifying
10q + 8 = 3q + -38

Reorder the terms:
8 + 10q = 3q + -38

Reorder the terms:
8 + 10q = -38 + 3q

Solving
8 + 10q = -38 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
8 + 10q + -3q = -38 + 3q + -3q

Combine like terms: 10q + -3q = 7q
8 + 7q = -38 + 3q + -3q

Combine like terms: 3q + -3q = 0
8 + 7q = -38 + 0
8 + 7q = -38

Add '-8' to each side of the equation.
8 + -8 + 7q = -38 + -8

Combine like terms: 8 + -8 = 0
0 + 7q = -38 + -8
7q = -38 + -8

Combine like terms: -38 + -8 = -46
7q = -46

Divide each side by '7'.
q = -6.571428571

Simplifying
q = -6.571428571

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