Solve a8:33/4=(5-x)*1015

$$a 8 : 3 \frac { 3 } { 4 } = ( 5 - x ) \cdot 1015$$

Solve for a_8

$$a_{8}=\frac{76125-15225x}{4}$$

Steps for Solving Linear Equation

Divide a_{8} by \frac{3\times 4+3}{4} by multiplying a_{8} by the reciprocal of \frac{3\times 4+3}{4}.

$$\frac{a_{8}\times 4}{3\times 4+3}=\left(5-x\right)\times 1015$$

Multiply 3 and 4 to get 12.

$$\frac{a_{8}\times 4}{12+3}=\left(5-x\right)\times 1015$$

Add 12 and 3 to get 15.

$$\frac{a_{8}\times 4}{15}=\left(5-x\right)\times 1015$$

Use the distributive property to multiply 5-x by 1015.

$$\frac{a_{8}\times 4}{15}=5075-1015x$$

Multiply both sides of the equation by 15.

$$a_{8}\times 4=76125-15225x$$

The equation is in standard form.

$$4a_{8}=76125-15225x$$

Divide both sides by 4.

$$\frac{4a_{8}}{4}=\frac{76125-15225x}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a_{8}=\frac{76125-15225x}{4}$$

Solve for x

$$x=-\frac{4a_{8}}{15225}+5$$

Steps for Solving Linear Equation

Divide a_{8} by \frac{3\times 4+3}{4} by multiplying a_{8} by the reciprocal of \frac{3\times 4+3}{4}.

$$\frac{a_{8}\times 4}{3\times 4+3}=\left(5-x\right)\times 1015$$

Multiply 3 and 4 to get 12.

$$\frac{a_{8}\times 4}{12+3}=\left(5-x\right)\times 1015$$

Add 12 and 3 to get 15.

$$\frac{a_{8}\times 4}{15}=\left(5-x\right)\times 1015$$

Use the distributive property to multiply 5-x by 1015.

$$\frac{a_{8}\times 4}{15}=5075-1015x$$

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

$$5075-1015x=\frac{a_{8}\times 4}{15}$$

Subtract 5075 from both sides.

$$-1015x=\frac{a_{8}\times 4}{15}-5075$$

Multiply both sides of the equation by 15.

$$-15225x=a_{8}\times 4-76125$$

The equation is in standard form.

$$-15225x=4a_{8}-76125$$

Divide both sides by -15225.

$$\frac{-15225x}{-15225}=\frac{4a_{8}-76125}{-15225}$$

Dividing by -15225 undoes the multiplication by -15225.

$$x=\frac{4a_{8}-76125}{-15225}$$

Divide 4a_{8}-76125 by -15225.

$$x=-\frac{4a_{8}}{15225}+5$$