Question

2(x-5)-x(x+1)=x(2-x)

help.

Answer 1

Simplifying
2(x + -5) + -1x(x + 1) = x(2 + -1x)

Reorder the terms:
2(-5 + x) + -1x(x + 1) = x(2 + -1x)
(-5 * 2 + x * 2) + -1x(x + 1) = x(2 + -1x)
(-10 + 2x) + -1x(x + 1) = x(2 + -1x)

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

Combine like terms:
2x + -1x = 1x
-10 + 1x + -1x2 = x(2 + -1x)
-10 + 1x + -1x2 = (2 * x + -1x * x)
-10 + 1x + -1x2 = (2x + -1x2)

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

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

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

Solving
-10 + 1x = 2x

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

Answer 2

Did this help ?

Answer 3

yes thank you :)

Answer 4

You're welcome :)