Solve left(100-xright)2205=left(x-10right)336+left(x-10right)4200*001

$$\left( 100-x \right) 2205 = \left( x-10 \right) 336+ \left( x-10 \right) 4200 \times 001$$

Solve for x

$$x = \frac{10660}{121} = 88\frac{12}{121} \approx 88.099173554$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100-x by 2205.

$$220500-2205x=\left(x-10\right)\times 336+\left(x-10\right)\times 4200\times 0\times 0\times 1$$

Use the distributive property to multiply x-10 by 336.

$$220500-2205x=336x-3360+\left(x-10\right)\times 4200\times 0\times 0\times 1$$

Multiply 4200 and 0 to get 0.

$$220500-2205x=336x-3360+\left(x-10\right)\times 0\times 0\times 1$$

Multiply 0 and 0 to get 0.

$$220500-2205x=336x-3360+\left(x-10\right)\times 0\times 1$$

Multiply 0 and 1 to get 0.

$$220500-2205x=336x-3360+\left(x-10\right)\times 0$$

Anything times zero gives zero.

$$220500-2205x=336x-3360+0$$

Add -3360 and 0 to get -3360.

$$220500-2205x=336x-3360$$

Subtract 336x from both sides.

$$220500-2205x-336x=-3360$$

Combine -2205x and -336x to get -2541x.

$$220500-2541x=-3360$$

Subtract 220500 from both sides.

$$-2541x=-3360-220500$$

Subtract 220500 from -3360 to get -223860.

$$-2541x=-223860$$

Divide both sides by -2541.

$$x=\frac{-223860}{-2541}$$

Reduce the fraction \frac{-223860}{-2541} to lowest terms by extracting and canceling out -21.

$$x=\frac{10660}{121}$$