SOLUTION: Solve. a) 7x - 5 - 2x = 9 b) 2x + 4 = 3x - 2 c) 4(x - 3) = 3(x - 4)

Algebra ->  Equations -> SOLUTION: Solve. a) 7x - 5 - 2x = 9 b) 2x + 4 = 3x - 2 c) 4(x - 3) = 3(x - 4)      Log On


   

Question 289152: Solve.
a) 7x - 5 - 2x = 9
b) 2x + 4 = 3x - 2
c) 4(x - 3) = 3(x - 4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)

Solved by pluggable solver: Linear Equation Solver


7x-5-2x=9 Start with the given equation.



5x-5=9 Combine like terms on the left side.



5x=9%2B5 Add 5 to both sides.



5x=14 Combine like terms on the right side.



x=%2814%29%2F%285%29 Divide both sides by 5 to isolate x.



----------------------------------------------------------------------

Answer:

So the solution is x=14%2F5



------
b)

Solved by pluggable solver: Linear Equation Solver


2x%2B4=3x-2 Start with the given equation.



2x=3x-2-4 Subtract 4 from both sides.



2x-3x=-2-4 Subtract 3x from both sides.



-x=-2-4 Combine like terms on the left side.



-x=-6 Combine like terms on the right side.



x=%28-6%29%2F%28-1%29 Divide both sides by -1 to isolate x.



x=6 Reduce.



----------------------------------------------------------------------

Answer:

So the solution is x=6




------
c)

Solved by pluggable solver: Linear Equation Solver


4%28x-3%29=3%28x-4%29 Start with the given equation.



4x-12=3x-12 Distribute.



4x=3x-12%2B12 Add 12 to both sides.



4x-3x=-12%2B12 Subtract 3x from both sides.



x=-12%2B12 Combine like terms on the left side.



x=0 Combine like terms on the right side.



----------------------------------------------------------------------

Answer:

So the solution is x=0




------