(6xq-4+6)-(2xq+2x+1)=

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Solution for (6xq-4+6)-(2xq+2x+1)= equation:


Simplifying
(6xq + -4 + 6) + -1(2xq + 2x + 1) = 0

Reorder the terms:
(-4 + 6 + 6qx) + -1(2xq + 2x + 1) = 0

Combine like terms: -4 + 6 = 2
(2 + 6qx) + -1(2xq + 2x + 1) = 0

Remove parenthesis around (2 + 6qx)
2 + 6qx + -1(2xq + 2x + 1) = 0

Reorder the terms:
2 + 6qx + -1(1 + 2qx + 2x) = 0
2 + 6qx + (1 * -1 + 2qx * -1 + 2x * -1) = 0
2 + 6qx + (-1 + -2qx + -2x) = 0

Reorder the terms:
2 + -1 + 6qx + -2qx + -2x = 0

Combine like terms: 2 + -1 = 1
1 + 6qx + -2qx + -2x = 0

Combine like terms: 6qx + -2qx = 4qx
1 + 4qx + -2x = 0

Solving
1 + 4qx + -2x = 0

Solving for variable 'q'.

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

Add '-1' to each side of the equation.
1 + 4qx + -1 + -2x = 0 + -1

Reorder the terms:
1 + -1 + 4qx + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4qx + -2x = 0 + -1
4qx + -2x = 0 + -1

Combine like terms: 0 + -1 = -1
4qx + -2x = -1

Add '2x' to each side of the equation.
4qx + -2x + 2x = -1 + 2x

Combine like terms: -2x + 2x = 0
4qx + 0 = -1 + 2x
4qx = -1 + 2x

Divide each side by '4x'.
q = -0.25x-1 + 0.5

Simplifying
q = -0.25x-1 + 0.5

Reorder the terms:
q = 0.5 + -0.25x-1

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