Solve 0.4x+15=0.51x-9.2

$$0.4x+15 = 0.51x-9.2$$

Solve for x

$$x=220$$

Steps for Solving Linear Equation

Subtract 0.51x from both sides.

$$0.4x+15-0.51x=-9.2$$

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

$$-0.11x+15=-9.2$$

Subtract 15 from both sides.

$$-0.11x=-9.2-15$$

Subtract 15 from -9.2 to get -24.2.

$$-0.11x=-24.2$$

Divide both sides by -0.11.

$$x=\frac{-24.2}{-0.11}$$

Expand \frac{-24.2}{-0.11} by multiplying both numerator and the denominator by 100.

$$x=\frac{-2420}{-11}$$

Divide -2420 by -11 to get 220.

$$x=220$$