Solve x-(16.3)=-8.2(x-(-0.75)

$$x-(16.3)=-8.2(x-(-0.75)$$

Solve for x

$$x = \frac{203}{184} = 1\frac{19}{184} \approx 1.10326087$$

Steps for Solving Linear Equation

The opposite of -0.75 is 0.75.

$$x-16.3=-8.2\left(x+0.75\right)$$

Use the distributive property to multiply -8.2 by x+0.75.

$$x-16.3=-8.2x-6.15$$

Add 8.2x to both sides.

$$x-16.3+8.2x=-6.15$$

Combine x and 8.2x to get 9.2x.

$$9.2x-16.3=-6.15$$

Add 16.3 to both sides.

$$9.2x=-6.15+16.3$$

Add -6.15 and 16.3 to get 10.15.

$$9.2x=10.15$$

Divide both sides by 9.2.

$$x=\frac{10.15}{9.2}$$

Expand \frac{10.15}{9.2} by multiplying both numerator and the denominator by 100.

$$x=\frac{1015}{920}$$

Reduce the fraction \frac{1015}{920} to lowest terms by extracting and canceling out 5.

$$x=\frac{203}{184}$$