Solve 7578*0.49+x/7578+x=0.5

$$\frac { 7578 \times 0.49 + x } { 7578 + x } = 0.5$$

Solve for x

$$x=151.56$$

Steps for Solving Linear Equation

Variable x cannot be equal to -7578 since division by zero is not defined. Multiply both sides of the equation by x+7578.

$$7578\times 0.49+x=0.5\left(x+7578\right)$$

Multiply 7578 and 0.49 to get 3713.22.

$$3713.22+x=0.5\left(x+7578\right)$$

Use the distributive property to multiply 0.5 by x+7578.

$$3713.22+x=0.5x+3789$$

Subtract 0.5x from both sides.

$$3713.22+x-0.5x=3789$$

Combine x and -0.5x to get 0.5x.

$$3713.22+0.5x=3789$$

Subtract 3713.22 from both sides.

$$0.5x=3789-3713.22$$

Subtract 3713.22 from 3789 to get 75.78.

$$0.5x=75.78$$

Divide both sides by 0.5.

$$x=\frac{75.78}{0.5}$$

Expand \frac{75.78}{0.5} by multiplying both numerator and the denominator by 100.

$$x=\frac{7578}{50}$$

Reduce the fraction \frac{7578}{50} to lowest terms by extracting and canceling out 2.

$$x=\frac{3789}{25}$$