Solve 4.3(-6.5+6.8x)/-8.2+0.6=-9.8x-4.2

$$\frac{ 4.3(-6.5+6.8x) }{ -8.2+0.6 } =-9.8x-4.2$$

Solve for x

$$x = -\frac{5987}{4524} = -1\frac{1463}{4524} \approx -1.323386384$$

Steps for Solving Linear Equation

Add -8.2 and 0.6 to get -7.6.

$$\frac{4.3\left(-6.5+6.8x\right)}{-7.6}=-9.8x-4.2$$

Divide 4.3\left(-6.5+6.8x\right) by -7.6 to get -\frac{43}{76}\left(-6.5+6.8x\right).

$$-\frac{43}{76}\left(-6.5+6.8x\right)=-9.8x-4.2$$

Use the distributive property to multiply -\frac{43}{76} by -6.5+6.8x.

$$\frac{559}{152}-\frac{731}{190}x=-9.8x-4.2$$

Add 9.8x to both sides.

$$\frac{559}{152}-\frac{731}{190}x+9.8x=-4.2$$

Combine -\frac{731}{190}x and 9.8x to get \frac{1131}{190}x.

$$\frac{559}{152}+\frac{1131}{190}x=-4.2$$

Subtract \frac{559}{152} from both sides.

$$\frac{1131}{190}x=-4.2-\frac{559}{152}$$

Subtract \frac{559}{152} from -4.2 to get -\frac{5987}{760}.

$$\frac{1131}{190}x=-\frac{5987}{760}$$

Divide both sides by \frac{1131}{190}.

$$x=\frac{-\frac{5987}{760}}{\frac{1131}{190}}$$