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

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

Solve for x

$$x = \frac{32}{11} = 2\frac{10}{11} \approx 2.909090909$$

Steps for Solving Linear Equation

Combine 6x and -x to get 5x.

$$0.3\times 5x=0.4\left(x+8\right)$$

Multiply 0.3 and 5 to get 1.5.

$$1.5x=0.4\left(x+8\right)$$

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

$$1.5x=0.4x+3.2$$

Subtract 0.4x from both sides.

$$1.5x-0.4x=3.2$$

Combine 1.5x and -0.4x to get 1.1x.

$$1.1x=3.2$$

Divide both sides by 1.1.

$$x=\frac{3.2}{1.1}$$

Expand \frac{3.2}{1.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{32}{11}$$