1q+2=-6q-(-3)+8q+4

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Solution for 1q+2=-6q-(-3)+8q+4 equation: 


Simplifying
1q + 2 = -6q + -1(-3) + 8q + 4

Reorder the terms:
2 + 1q = -6q + -1(-3) + 8q + 4

Multiply -1 * -3
2 + 1q = -6q + 3 + 8q + 4

Reorder the terms:
2 + 1q = 3 + 4 + -6q + 8q

Combine like terms: 3 + 4 = 7
2 + 1q = 7 + -6q + 8q

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

Solving
2 + 1q = 7 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
2 + 1q + -2q = 7 + 2q + -2q

Combine like terms: 1q + -2q = -1q
2 + -1q = 7 + 2q + -2q

Combine like terms: 2q + -2q = 0
2 + -1q = 7 + 0
2 + -1q = 7

Add '-2' to each side of the equation.
2 + -2 + -1q = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -1q = 7 + -2
-1q = 7 + -2

Combine like terms: 7 + -2 = 5
-1q = 5

Divide each side by '-1'.
q = -5

Simplifying
q = -5

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