Solve 6x+6/9=5x/4

$$\frac { 6 x + 6 } { 9 } = \frac { 5 x } { 4 }$$

Solve for x

$$x = \frac{8}{7} = 1\frac{1}{7} \approx 1.142857143$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 9,4.

$$4\left(6x+6\right)=9\times 5x$$

Use the distributive property to multiply 4 by 6x+6.

$$24x+24=9\times 5x$$

Multiply 9 and 5 to get 45.

$$24x+24=45x$$

Subtract 45x from both sides.

$$24x+24-45x=0$$

Combine 24x and -45x to get -21x.

$$-21x+24=0$$

Subtract 24 from both sides. Anything subtracted from zero gives its negation.

$$-21x=-24$$

Divide both sides by -21.

$$x=\frac{-24}{-21}$$

Reduce the fraction \frac{-24}{-21} to lowest terms by extracting and canceling out -3.

$$x=\frac{8}{7}$$