Solve (2)2-3x/4=x+17/5

$$( 2 ) 2 - \frac { 3 x } { 4 } = \frac { x + 17 } { 5 }$$

Solve for x

$$x=\frac{12}{19}\approx 0.631578947$$

Steps for Solving Linear Equation

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

$$40\times 2-5\times 3x=4\left(x+17\right)$$

Multiply 40 and 2 to get 80.

$$80-5\times 3x=4\left(x+17\right)$$

Multiply -5 and 3 to get -15.

$$80-15x=4\left(x+17\right)$$

Use the distributive property to multiply 4 by x+17.

$$80-15x=4x+68$$

Subtract 4x from both sides.

$$80-15x-4x=68$$

Combine -15x and -4x to get -19x.

$$80-19x=68$$

Subtract 80 from both sides.

$$-19x=68-80$$

Subtract 80 from 68 to get -12.

$$-19x=-12$$

Divide both sides by -19.

$$x=\frac{-12}{-19}$$

Fraction \frac{-12}{-19} can be simplified to \frac{12}{19} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{19}$$