Question

9x+10=11x-10
Please show work

Answer 1

Simplifying
9x + 10 = 11x + -10

Reorder the terms:
10 + 9x = 11x + -10

Reorder the terms:
10 + 9x = -10 + 11x

Solving
10 + 9x = -10 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
10 + 9x + -11x = -10 + 11x + -11x

Combine like terms: 9x + -11x = -2x
10 + -2x = -10 + 11x + -11x

Combine like terms: 11x + -11x = 0
10 + -2x = -10 + 0
10 + -2x = -10

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

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

Combine like terms: -10 + -10 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

Answer 2

`x=10`

Explanation:

1) Subtract 10 from both sides of the equation

`9x+10=11x-10\\9x+10-10=11x-10-10`

2) Simplify

a. Subtract the numbers

b. Subtract the numbers again

`9x=11x-20`

3) Subtract 11x from both sides of the equation

`9x=11x-20\\9x-11=11x-20-11x`

4) Simplify

a. Combine like terms

b. Combine like terms again

`-2x=-20`

5) Divide both sides of the equation by the same term

`-2x=20\\(-2x)/(-2) =(-20)/(-2)`

6) Simplify

a. Cancel terms that are in both the numerator and denominator

`(-2x)/(-2) =(-20)/(-2) \\x=(-20)/(2)`

b. Divide the numbers

`x=(-20)/(-2x) \\x=10`