Answer: x = 1/2
Explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*(2*x-3)-3*(x-4)+7*x-(6)=0
Step by step solution :
STEP
1
:
Equation at the end of step
1
:
(((4•(2x-3))-3•(x-4))+7x)-6 = 0
STEP
2
:
Equation at the end of step
2
:
((4•(2x-3)-3•(x-4))+7x)-6 = 0
STEP
3
:
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
12x - 6 = 6 • (2x - 1)
Equation at the end of step
4
:
6 • (2x - 1) = 0
STEP
5
:
Equations which are never true :
5.1 Solve : 6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : 2x-1 = 0
Add 1 to both sides of the equation :
2x = 1
Divide both sides of the equation by 2:
x = 1/2
One solution was found :
x = 1/2