(7+3)+x(x-1)=x(x-2)

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Solution for (7+3)+x(x-1)=x(x-2) equation:


Simplifying
(7 + 3) + x(x + -1) = x(x + -2)

Combine like terms: 7 + 3 = 10
(10) + x(x + -1) = x(x + -2)
10 + x(x + -1) = x(x + -2)

Reorder the terms:
10 + x(-1 + x) = x(x + -2)
10 + (-1 * x + x * x) = x(x + -2)
10 + (-1x + x2) = x(x + -2)

Reorder the terms:
10 + -1x + x2 = x(-2 + x)
10 + -1x + x2 = (-2 * x + x * x)
10 + -1x + x2 = (-2x + x2)

Add '-1x2' to each side of the equation.
10 + -1x + x2 + -1x2 = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -1x + 0 = -2x + x2 + -1x2
10 + -1x = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -1x = -2x + 0
10 + -1x = -2x

Solving
10 + -1x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + -1x + 2x = -2x + 2x

Combine like terms: -1x + 2x = 1x
10 + 1x = -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 1x = 0

Add '-10' to each side of the equation.
10 + -10 + 1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 0 + -10
1x = 0 + -10

Combine like terms: 0 + -10 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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