Solve 0.3x-.24=0.36+.52x

$$0.3x-.24=0.36+.52x$$

Solve for x

$$x = -\frac{30}{11} = -2\frac{8}{11} \approx -2.727272727$$

Steps for Solving Linear Equation

Subtract 0.52x from both sides.

$$0.3x-0.24-0.52x=0.36$$

Combine 0.3x and -0.52x to get -0.22x.

$$-0.22x-0.24=0.36$$

Add 0.24 to both sides.

$$-0.22x=0.36+0.24$$

Add 0.36 and 0.24 to get 0.6.

$$-0.22x=0.6$$

Divide both sides by -0.22.

$$x=\frac{0.6}{-0.22}$$

Expand \frac{0.6}{-0.22} by multiplying both numerator and the denominator by 100.

$$x=\frac{60}{-22}$$

Reduce the fraction \frac{60}{-22} to lowest terms by extracting and canceling out 2.

$$x=-\frac{30}{11}$$