7(3q-1)+5(4-2q)=6q+3

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Solution for 7(3q-1)+5(4-2q)=6q+3 equation: 


Simplifying
7(3q + -1) + 5(4 + -2q) = 6q + 3

Reorder the terms:
7(-1 + 3q) + 5(4 + -2q) = 6q + 3
(-1 * 7 + 3q * 7) + 5(4 + -2q) = 6q + 3
(-7 + 21q) + 5(4 + -2q) = 6q + 3
-7 + 21q + (4 * 5 + -2q * 5) = 6q + 3
-7 + 21q + (20 + -10q) = 6q + 3

Reorder the terms:
-7 + 20 + 21q + -10q = 6q + 3

Combine like terms: -7 + 20 = 13
13 + 21q + -10q = 6q + 3

Combine like terms: 21q + -10q = 11q
13 + 11q = 6q + 3

Reorder the terms:
13 + 11q = 3 + 6q

Solving
13 + 11q = 3 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
13 + 11q + -6q = 3 + 6q + -6q

Combine like terms: 11q + -6q = 5q
13 + 5q = 3 + 6q + -6q

Combine like terms: 6q + -6q = 0
13 + 5q = 3 + 0
13 + 5q = 3

Add '-13' to each side of the equation.
13 + -13 + 5q = 3 + -13

Combine like terms: 13 + -13 = 0
0 + 5q = 3 + -13
5q = 3 + -13

Combine like terms: 3 + -13 = -10
5q = -10

Divide each side by '5'.
q = -2

Simplifying
q = -2

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