2x/3+1/4=9
(2x)/(3)+(1)/(4)=9
Since (1)/(4) does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting (1)/(4) from both sides.
(2x)/(3)=-(1)/(4)+9
Simplify the right-hand side of the equation.
(2x)/(3)=(35)/(4)
Multiply each term in the equation by 3.
(2x)/(3)*3=(35)/(4)*3
Simplify the left-hand side of the equation by canceling the common terms.
2x=(35)/(4)*3
Multiply (35)/(4) by 3 to get (105)/(4).
2x=(105)/(4)
Divide each term in the equation by 2.
(2x)/(2)=(105)/(4)*(1)/(2)
Simplify the left-hand side of the equation by canceling the common terms.
x=(105)/(4)*(1)/(2)
Simplify the right-hand side of the equation by simplifying each term.
x=(105)/(8)