Question

10 – 2x + 3 = 5x – 9 + 4x

please help me solve this equation

Answer 1

x=2

Explanation:

Hi there!

Whenever we're solving an algebraic equation, our goal is always to isolate the variable, which in this case is x. We would do this by performing inverse operations on both sides of the equal sign to cancel values out.

`10-2x + 3 = 5x-9 + 4x`

Combine like terms on both sides of the equal sign

`10+ 3-2x = 5x+ 4x-9 \\13-2x = 9x-9`

Add 2x to both sides to cancel out -2x (addition is the inverse of subtraction)

`13-2x +2x = 9x-9 +2x\\13 = 11x-9`

Add 9 to both sides to cancel out -9 and isolate 11x (addition is the inverse of subtraction)

`13+9 = 11x-9+9\\22=11x`

Divide both sides by 11 to isolate x (division is the inverse of multiplication)
`(22)/(11) =(11x)/(11) \\2=x`

Therefore, x=2.

I hope this helps!