Solve 0.5(38-4x)+19=4(8-0.5)+x

$$0.5(38-4x)+19=4(8-0.5)+x$$

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.5 by 38-4x.

$$19-2x+19=4\left(8-0.5\right)+x$$

Add 19 and 19 to get 38.

$$38-2x=4\left(8-0.5\right)+x$$

Subtract 0.5 from 8 to get 7.5.

$$38-2x=4\times 7.5+x$$

Multiply 4 and 7.5 to get 30.

$$38-2x=30+x$$

Subtract x from both sides.

$$38-2x-x=30$$

Combine -2x and -x to get -3x.

$$38-3x=30$$

Subtract 38 from both sides.

$$-3x=30-38$$

Subtract 38 from 30 to get -8.

$$-3x=-8$$

Divide both sides by -3.

$$x=\frac{-8}{-3}$$

Fraction \frac{-8}{-3} can be simplified to \frac{8}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{3}$$