2(x-4)+3(x-5)=82.20

Question

Solve for x

Answer 1

2(x-4)+3(x-5)=82.20

2x-8+3x-15=82.20

5x-23=82.20

5x=105.2

x=21.04

Answer 2

1. Simplify the equation.

 

2(x-4) +3(X-5)=82.20

 

2(-4+X ) + 3(x-5) =82.20

 

(-4*2+x*2) + 3(x-5) = 82.20

 

-8 + 2x + 3(-5+x) = 82.20

 

-8 + 2x + (-15 + 3x) = 82.20

 

2. Combine like terms

 

-8+-15=-23

 

-23 + 2x +3x= 82.20

 

2x +3x = 5x

 

3. Solving the problem.

4. Move all the terms that are x to the left, everything else to the right.

 

-23 +5x = 82.20

 

5. Add 23 to each side of the equation.

 

-23 +23 + 5x = 82.20 +23

 

6. Combine like terms again.

 

-23+23=0

 

0+5x = 82.20 +23

 

5x +82.20+23

 

82.20+23=105.2

 

5x+105.2

 

7. Divide both numbers by 5 to get what equals x.

 

5x/5 =105.2/5= x= 21.04