Solve 2.375=61+3x/26+x

$$2.375= \frac{ 61+3x }{ 26+x }$$

Solve for x

$$x=1.2$$

Steps for Solving Linear Equation

Variable x cannot be equal to -26 since division by zero is not defined. Multiply both sides of the equation by x+26.

$$2.375\left(x+26\right)=61+3x$$

Use the distributive property to multiply 2.375 by x+26.

$$2.375x+61.75=61+3x$$

Subtract 3x from both sides.

$$2.375x+61.75-3x=61$$

Combine 2.375x and -3x to get -0.625x.

$$-0.625x+61.75=61$$

Subtract 61.75 from both sides.

$$-0.625x=61-61.75$$

Subtract 61.75 from 61 to get -0.75.

$$-0.625x=-0.75$$

Divide both sides by -0.625.

$$x=\frac{-0.75}{-0.625}$$

Expand \frac{-0.75}{-0.625} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-750}{-625}$$

Reduce the fraction \frac{-750}{-625} to lowest terms by extracting and canceling out -125.

$$x=\frac{6}{5}$$