Solve 0.3(6-x)=0.4(x+8)

$$0.3 ( 6 - x ) = 0.4 ( x + 8 )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.3 by 6-x.

$$1.8-0.3x=0.4\left(x+8\right)$$

Use the distributive property to multiply 0.4 by x+8.

$$1.8-0.3x=0.4x+3.2$$

Subtract 0.4x from both sides.

$$1.8-0.3x-0.4x=3.2$$

Combine -0.3x and -0.4x to get -0.7x.

$$1.8-0.7x=3.2$$

Subtract 1.8 from both sides.

$$-0.7x=3.2-1.8$$

Subtract 1.8 from 3.2 to get 1.4.

$$-0.7x=1.4$$

Divide both sides by -0.7.

$$x=\frac{1.4}{-0.7}$$

Expand \frac{1.4}{-0.7} by multiplying both numerator and the denominator by 10.

$$x=\frac{14}{-7}$$

Divide 14 by -7 to get -2.

$$x=-2$$