78(−32−48x)+36=23(−33x−18)−10x
Answers
Answer:
One solution was found :
x = 2
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(7)/(8)*(-32-48*x)+36-((2)/(3)*(-33*x-18)-10*x)=0
Step by step solution :
STEP
1
:
2
Simplify —
3
Equation at the end of step
1
:
7 2
((—•(-48x-32))+36)-((—•(-33x-18))-10x) = 0
8 3
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-33x - 18 = -3 • (11x + 6)
Equation at the end of step
3
:
7
((—•(-48x-32))+36)-(-2•(11x+6)-10x) = 0
8
STEP
4
:
7
Simplify —
8
Equation at the end of step
4
:
7
((— • (-48x - 32)) + 36) - (-32x - 12) = 0
8
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
-48x - 32 = -16 • (3x + 2)
Equation at the end of step
6
:
(-14 • (3x + 2) + 36) - (-32x - 12) = 0
STEP
7
:
STEP
8
:
Pulling out like terms
8.1 Pull out like factors :
20 - 10x = -10 • (x - 2)
Equation at the end of step
8
:
-10 • (x - 2) = 0
STEP
9
:
Equations which are never true
9.1 Solve : -10 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
9.2 Solve : x-2 = 0
Add 2 to both sides of the equation :
x = 2
One solution was found :
x = 2