Solve 3x+5/4-x-7/5=1

$$\frac { 3 x + 5 } { 4 } - \frac { x - 7 } { 5 } = 1$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(3x+5\right)-4\left(x-7\right)=20$$

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

$$15x+25-4\left(x-7\right)=20$$

Use the distributive property to multiply -4 by x-7.

$$15x+25-4x+28=20$$

Combine 15x and -4x to get 11x.

$$11x+25+28=20$$

Add 25 and 28 to get 53.

$$11x+53=20$$

Subtract 53 from both sides.

$$11x=20-53$$

Subtract 53 from 20 to get -33.

$$11x=-33$$

Divide both sides by 11.

$$x=\frac{-33}{11}$$

Divide -33 by 11 to get -3.

$$x=-3$$