3x(x+1)-x(3x+1)=x-7

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Solution for 3x(x+1)-x(3x+1)=x-7 equation: 


Simplifying
3x(x + 1) + -1x(3x + 1) = x + -7

Reorder the terms:
3x(1 + x) + -1x(3x + 1) = x + -7
(1 * 3x + x * 3x) + -1x(3x + 1) = x + -7
(3x + 3x2) + -1x(3x + 1) = x + -7

Reorder the terms:
3x + 3x2 + -1x(1 + 3x) = x + -7
3x + 3x2 + (1 * -1x + 3x * -1x) = x + -7
3x + 3x2 + (-1x + -3x2) = x + -7

Reorder the terms:
3x + -1x + 3x2 + -3x2 = x + -7

Combine like terms: 3x + -1x = 2x
2x + 3x2 + -3x2 = x + -7

Combine like terms: 3x2 + -3x2 = 0
2x + 0 = x + -7
2x = x + -7

Reorder the terms:
2x = -7 + x

Solving
2x = -7 + x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
1x = -7 + 0
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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