Solve 5*0.68+0.9x/5+x=0.75

$$\frac{ 5 \cdot 0.68+0.9x }{ 5+x } =0.75$$

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by x+5.

$$5\times 0.68+0.9x=0.75\left(x+5\right)$$

Multiply 5 and 0.68 to get 3.4.

$$3.4+0.9x=0.75\left(x+5\right)$$

Use the distributive property to multiply 0.75 by x+5.

$$3.4+0.9x=0.75x+3.75$$

Subtract 0.75x from both sides.

$$3.4+0.9x-0.75x=3.75$$

Combine 0.9x and -0.75x to get 0.15x.

$$3.4+0.15x=3.75$$

Subtract 3.4 from both sides.

$$0.15x=3.75-3.4$$

Subtract 3.4 from 3.75 to get 0.35.

$$0.15x=0.35$$

Divide both sides by 0.15.

$$x=\frac{0.35}{0.15}$$

Expand \frac{0.35}{0.15} by multiplying both numerator and the denominator by 100.

$$x=\frac{35}{15}$$

Reduce the fraction \frac{35}{15} to lowest terms by extracting and canceling out 5.

$$x=\frac{7}{3}$$