Solve 5x-3/4+1/3(x-5)=-5x

$$\frac { 5 x - 3 } { 4 } + \frac { 1 } { 3 } ( x - 5 ) = - 5 x$$

Solve for x

$$x=\frac{29}{79}\approx 0.367088608$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(5x-3\right)+4\left(x-5\right)=-60x$$

Use the distributive property to multiply 3 by 5x-3.

$$15x-9+4\left(x-5\right)=-60x$$

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

$$15x-9+4x-20=-60x$$

Combine 15x and 4x to get 19x.

$$19x-9-20=-60x$$

Subtract 20 from -9 to get -29.

$$19x-29=-60x$$

Add 60x to both sides.

$$19x-29+60x=0$$

Combine 19x and 60x to get 79x.

$$79x-29=0$$

Add 29 to both sides. Anything plus zero gives itself.

$$79x=29$$

Divide both sides by 79.

$$x=\frac{29}{79}$$