2Q+6(1-Q)=4Q+10(1-Q)

Solution for 2Q+6(1-Q)=4Q+10(1-Q) equation:

Simplifying
2Q + 6(1 + -1Q) = 4Q + 10(1 + -1Q)
2Q + (1 * 6 + -1Q * 6) = 4Q + 10(1 + -1Q)
2Q + (6 + -6Q) = 4Q + 10(1 + -1Q)

Reorder the terms:
6 + 2Q + -6Q = 4Q + 10(1 + -1Q)

Combine like terms: 2Q + -6Q = -4Q
6 + -4Q = 4Q + 10(1 + -1Q)
6 + -4Q = 4Q + (1 * 10 + -1Q * 10)
6 + -4Q = 4Q + (10 + -10Q)

Reorder the terms:
6 + -4Q = 10 + 4Q + -10Q

Combine like terms: 4Q + -10Q = -6Q
6 + -4Q = 10 + -6Q

Solving
6 + -4Q = 10 + -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.
6 + -4Q + 6Q = 10 + -6Q + 6Q

Combine like terms: -4Q + 6Q = 2Q
6 + 2Q = 10 + -6Q + 6Q

Combine like terms: -6Q + 6Q = 0
6 + 2Q = 10 + 0
6 + 2Q = 10

Add '-6' to each side of the equation.
6 + -6 + 2Q = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2Q = 10 + -6
2Q = 10 + -6

Combine like terms: 10 + -6 = 4
2Q = 4

Divide each side by '2'.
Q = 2

Simplifying
Q = 2