6(1-q)-4(2+3q)=10q+7

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Solution for 6(1-q)-4(2+3q)=10q+7 equation: 


Simplifying
6(1 + -1q) + -4(2 + 3q) = 10q + 7
(1 * 6 + -1q * 6) + -4(2 + 3q) = 10q + 7
(6 + -6q) + -4(2 + 3q) = 10q + 7
6 + -6q + (2 * -4 + 3q * -4) = 10q + 7
6 + -6q + (-8 + -12q) = 10q + 7

Reorder the terms:
6 + -8 + -6q + -12q = 10q + 7

Combine like terms: 6 + -8 = -2
-2 + -6q + -12q = 10q + 7

Combine like terms: -6q + -12q = -18q
-2 + -18q = 10q + 7

Reorder the terms:
-2 + -18q = 7 + 10q

Solving
-2 + -18q = 7 + 10q

Solving for variable 'q'.

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

Add '-10q' to each side of the equation.
-2 + -18q + -10q = 7 + 10q + -10q

Combine like terms: -18q + -10q = -28q
-2 + -28q = 7 + 10q + -10q

Combine like terms: 10q + -10q = 0
-2 + -28q = 7 + 0
-2 + -28q = 7

Add '2' to each side of the equation.
-2 + 2 + -28q = 7 + 2

Combine like terms: -2 + 2 = 0
0 + -28q = 7 + 2
-28q = 7 + 2

Combine like terms: 7 + 2 = 9
-28q = 9

Divide each side by '-28'.
q = -0.3214285714

Simplifying
q = -0.3214285714

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