Solve 3left(2x-3right)/5-1+4x/3=-58/15

$$\frac{ 3 \left( 2x-3 \right) }{ 5 } - \frac{ 1+4x }{ 3 } = - \frac{ 58 }{ 15 }$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

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

$$3\times 3\left(2x-3\right)-5\left(1+4x\right)=-58$$

Multiply 3 and 3 to get 9.

$$9\left(2x-3\right)-5\left(1+4x\right)=-58$$

Use the distributive property to multiply 9 by 2x-3.

$$18x-27-5\left(1+4x\right)=-58$$

Use the distributive property to multiply -5 by 1+4x.

$$18x-27-5-20x=-58$$

Subtract 5 from -27 to get -32.

$$18x-32-20x=-58$$

Combine 18x and -20x to get -2x.

$$-2x-32=-58$$

Add 32 to both sides.

$$-2x=-58+32$$

Add -58 and 32 to get -26.

$$-2x=-26$$

Divide both sides by -2.

$$x=\frac{-26}{-2}$$

Divide -26 by -2 to get 13.

$$x=13$$