Solve 0.4x+15=0.51x-8.2

$$0.4 x + 15 = 0.51 x - 8.2$$

Solve for x

$$x = \frac{2320}{11} = 210\frac{10}{11} \approx 210.909090909$$

Steps for Solving Linear Equation

Subtract 0.51x from both sides.

$$0.4x+15-0.51x=-8.2$$

Combine 0.4x and -0.51x to get -0.11x.

$$-0.11x+15=-8.2$$

Subtract 15 from both sides.

$$-0.11x=-8.2-15$$

Subtract 15 from -8.2 to get -23.2.

$$-0.11x=-23.2$$

Divide both sides by -0.11.

$$x=\frac{-23.2}{-0.11}$$

Expand \frac{-23.2}{-0.11} by multiplying both numerator and the denominator by 100.

$$x=\frac{-2320}{-11}$$

Fraction \frac{-2320}{-11} can be simplified to \frac{2320}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2320}{11}$$