Solve 0.6left(14x+8000right)=-0.4left(20x+12000right)+20.6x

$$0.6 \left( 14x+8000 \right) = -0.4 \left( 20x+12000 \right) +20.6x$$

Solve for x

$$x = \frac{16000}{7} = 2285\frac{5}{7} \approx 2285.714285714$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.6 by 14x+8000.

$$8.4x+4800=-0.4\left(20x+12000\right)+20.6x$$

Use the distributive property to multiply -0.4 by 20x+12000.

$$8.4x+4800=-8x-4800+20.6x$$

Combine -8x and 20.6x to get 12.6x.

$$8.4x+4800=12.6x-4800$$

Subtract 12.6x from both sides.

$$8.4x+4800-12.6x=-4800$$

Combine 8.4x and -12.6x to get -4.2x.

$$-4.2x+4800=-4800$$

Subtract 4800 from both sides.

$$-4.2x=-4800-4800$$

Subtract 4800 from -4800 to get -9600.

$$-4.2x=-9600$$

Divide both sides by -4.2.

$$x=\frac{-9600}{-4.2}$$

Expand \frac{-9600}{-4.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-96000}{-42}$$

Reduce the fraction \frac{-96000}{-42} to lowest terms by extracting and canceling out -6.

$$x=\frac{16000}{7}$$