Solve 2(3x-4)/5=-9+15x/3

$$\frac { 2 ( 3 x - 4 ) } { 5 } = \frac { - 9 + 15 x } { 3 }$$

Solve for x

$$x=\frac{7}{19}\approx 0.368421053$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\times 2\left(3x-4\right)=5\left(-9+15x\right)$$

Multiply 3 and 2 to get 6.

$$6\left(3x-4\right)=5\left(-9+15x\right)$$

Use the distributive property to multiply 6 by 3x-4.

$$18x-24=5\left(-9+15x\right)$$

Use the distributive property to multiply 5 by -9+15x.

$$18x-24=-45+75x$$

Subtract 75x from both sides.

$$18x-24-75x=-45$$

Combine 18x and -75x to get -57x.

$$-57x-24=-45$$

Add 24 to both sides.

$$-57x=-45+24$$

Add -45 and 24 to get -21.

$$-57x=-21$$

Divide both sides by -57.

$$x=\frac{-21}{-57}$$

Reduce the fraction \frac{-21}{-57} to lowest terms by extracting and canceling out -3.

$$x=\frac{7}{19}$$