7q-(q-2)=4Q+2(q+1)

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Solution for 7q-(q-2)=4Q+2(q+1) equation:


Simplifying
7q + -1(q + -2) = 4Q + 2(q + 1)

Reorder the terms:
7q + -1(-2 + q) = 4Q + 2(q + 1)
7q + (-2 * -1 + q * -1) = 4Q + 2(q + 1)
7q + (2 + -1q) = 4Q + 2(q + 1)

Reorder the terms:
2 + 7q + -1q = 4Q + 2(q + 1)

Combine like terms: 7q + -1q = 6q
2 + 6q = 4Q + 2(q + 1)

Reorder the terms:
2 + 6q = 4Q + 2(1 + q)
2 + 6q = 4Q + (1 * 2 + q * 2)
2 + 6q = 4Q + (2 + 2q)

Reorder the terms:
2 + 6q = 2 + 4Q + 2q

Add '-2' to each side of the equation.
2 + -2 + 6q = 2 + 4Q + -2 + 2q

Combine like terms: 2 + -2 = 0
0 + 6q = 2 + 4Q + -2 + 2q
6q = 2 + 4Q + -2 + 2q

Reorder the terms:
6q = 2 + -2 + 4Q + 2q

Combine like terms: 2 + -2 = 0
6q = 0 + 4Q + 2q
6q = 4Q + 2q

Solving
6q = 4Q + 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.
6q + -2q = 4Q + 2q + -2q

Combine like terms: 6q + -2q = 4q
4q = 4Q + 2q + -2q

Combine like terms: 2q + -2q = 0
4q = 4Q + 0
4q = 4Q

Divide each side by '4'.
q = Q

Simplifying
q = Q

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