Solve (100-x)*80=[700(1-48)-x](80+4x4)

$$( 100 - x ) \times 80 = [ 700 ( 1 - 48 ) - x ] ( 80 + 4 x 4 )$$

Solve for x

$$x=-32900-\frac{660000}{x_{4}}$$

$$x_{4}\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100-x by 80.

$$8000-80x=\left(700\left(1-48\right)-x\right)\left(80+4x_{4}\right)$$

Subtract 48 from 1 to get -47.

$$8000-80x=\left(700\left(-47\right)-x\right)\left(80+4x_{4}\right)$$

Multiply 700 and -47 to get -32900.

$$8000-80x=\left(-32900-x\right)\left(80+4x_{4}\right)$$

Use the distributive property to multiply -32900-x by 80+4x_{4}.

$$8000-80x=-2632000-131600x_{4}-80x-4xx_{4}$$

Add 80x to both sides.

$$8000-80x+80x=-2632000-131600x_{4}-4xx_{4}$$

Combine -80x and 80x to get 0.

$$8000=-2632000-131600x_{4}-4xx_{4}$$

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

$$-2632000-131600x_{4}-4xx_{4}=8000$$

Add 2632000 to both sides.

$$-131600x_{4}-4xx_{4}=8000+2632000$$

Add 8000 and 2632000 to get 2640000.

$$-131600x_{4}-4xx_{4}=2640000$$

Add 131600x_{4} to both sides.

$$-4xx_{4}=2640000+131600x_{4}$$

The equation is in standard form.

$$\left(-4x_{4}\right)x=131600x_{4}+2640000$$

Divide both sides by -4x_{4}.

$$\frac{\left(-4x_{4}\right)x}{-4x_{4}}=\frac{131600x_{4}+2640000}{-4x_{4}}$$

Dividing by -4x_{4} undoes the multiplication by -4x_{4}.

$$x=\frac{131600x_{4}+2640000}{-4x_{4}}$$

Divide 131600x_{4}+2640000 by -4x_{4}.

$$x=-32900-\frac{660000}{x_{4}}$$

Solve for x_4

$$x_{4}=-\frac{660000}{x+32900}$$

$$x\neq -32900$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100-x by 80.

$$8000-80x=\left(700\left(1-48\right)-x\right)\left(80+4x_{4}\right)$$

Subtract 48 from 1 to get -47.

$$8000-80x=\left(700\left(-47\right)-x\right)\left(80+4x_{4}\right)$$

Multiply 700 and -47 to get -32900.

$$8000-80x=\left(-32900-x\right)\left(80+4x_{4}\right)$$

Use the distributive property to multiply -32900-x by 80+4x_{4}.

$$8000-80x=-2632000-131600x_{4}-80x-4x_{4}x$$

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

$$-2632000-131600x_{4}-80x-4x_{4}x=8000-80x$$

Add 2632000 to both sides.

$$-131600x_{4}-80x-4x_{4}x=8000-80x+2632000$$

Add 8000 and 2632000 to get 2640000.

$$-131600x_{4}-80x-4x_{4}x=2640000-80x$$

Add 80x to both sides.

$$-131600x_{4}-4x_{4}x=2640000-80x+80x$$

Combine -80x and 80x to get 0.

$$-131600x_{4}-4x_{4}x=2640000$$

Combine all terms containing x_{4}.

$$\left(-131600-4x\right)x_{4}=2640000$$

The equation is in standard form.

$$\left(-4x-131600\right)x_{4}=2640000$$

Divide both sides by -131600-4x.

$$\frac{\left(-4x-131600\right)x_{4}}{-4x-131600}=\frac{2640000}{-4x-131600}$$

Dividing by -131600-4x undoes the multiplication by -131600-4x.

$$x_{4}=\frac{2640000}{-4x-131600}$$

Divide 2640000 by -131600-4x.

$$x_{4}=-\frac{660000}{x+32900}$$