Solve -2.8564x+31.235=-0.6995x+13.133

$$-2.8564x+31.235=-0.6995x+13.133$$

Solve for x

$$x = \frac{181020}{21569} = 8\frac{8468}{21569} \approx 8.392600491$$

Steps for Solving Linear Equation

Add 0.6995x to both sides.

$$-2.8564x+31.235+0.6995x=13.133$$

Combine -2.8564x and 0.6995x to get -2.1569x.

$$-2.1569x+31.235=13.133$$

Subtract 31.235 from both sides.

$$-2.1569x=13.133-31.235$$

Subtract 31.235 from 13.133 to get -18.102.

$$-2.1569x=-18.102$$

Divide both sides by -2.1569.

$$x=\frac{-18.102}{-2.1569}$$

Expand \frac{-18.102}{-2.1569} by multiplying both numerator and the denominator by 10000.

$$x=\frac{-181020}{-21569}$$

Fraction \frac{-181020}{-21569} can be simplified to \frac{181020}{21569} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{181020}{21569}$$