Solve 333+(8*x)/21+x=7.5

$$\frac{ 333+(8 \times x) }{ 21+x } =7.5$$

Solve for x

$$x=-351$$

Steps for Solving Linear Equation

Variable x cannot be equal to -21 since division by zero is not defined. Multiply both sides of the equation by x+21.

$$333+8x=7.5\left(x+21\right)$$

Use the distributive property to multiply 7.5 by x+21.

$$333+8x=7.5x+157.5$$

Subtract 7.5x from both sides.

$$333+8x-7.5x=157.5$$

Combine 8x and -7.5x to get 0.5x.

$$333+0.5x=157.5$$

Subtract 333 from both sides.

$$0.5x=157.5-333$$

Subtract 333 from 157.5 to get -175.5.

$$0.5x=-175.5$$

Divide both sides by 0.5.

$$x=\frac{-175.5}{0.5}$$

Expand \frac{-175.5}{0.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-1755}{5}$$

Divide -1755 by 5 to get -351.

$$x=-351$$