Solve 26/x=5-1.5

$$\frac { 26 } { x } = 5 - 1.5$$

Solve for x

$$x = \frac{52}{7} = 7\frac{3}{7} \approx 7.428571429$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$26=x\times 5+x\left(-1.5\right)$$

Combine x\times 5 and x\left(-1.5\right) to get 3.5x.

$$26=3.5x$$

Swap sides so that all variable terms are on the left hand side.

$$3.5x=26$$

Divide both sides by 3.5.

$$x=\frac{26}{3.5}$$

Expand \frac{26}{3.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{260}{35}$$

Reduce the fraction \frac{260}{35} to lowest terms by extracting and canceling out 5.

$$x=\frac{52}{7}$$