x = 37/3 or 12.333
2.1 Pull out like factors :
6x - 9 = 3 • (2x - 3)
Equation at the end of step 2 :
1
(7x+(8•(x+—)))-(9•(2x-3)-8) = 0
4
Step 3 :
1
Simplify —
4
Equation at the end of step 3 :
1
(7x + (8 • (x + —))) - (18x - 35) = 0
4
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 4 as the denominator :
x x • 4
x = — = —————
1 4
x • 4 + 1 4x + 1
————————— = ——————
4 4
Equation at the end of step 4 :
(4x + 1)
(7x + (8 • ————————)) - (18x - 35) = 0
4
Step 5 :
Equation at the end of step 5 :
(7x + 2 • (4x + 1)) - (18x - 35) = 0
Step 6 :
Equation at the end of step 6 :
37 - 3x = 0
Step 7 :
Solving a Single Variable Equation :
7.1 Solve : -3x+37 = 0
Subtract 37 from both sides of the equation :
-3x = -37
Multiply both sides of the equation by (-1) : 3x = 37
Divide both sides of the equation by 3:
x = 37/3 = 12.333