Solve -16.5+3.5x=-4(7.5x+9.5)

$$-16.5+3.5x=-4(7.5x+9.5)$$

Solve for x

$$x=-\frac{43}{67}\approx -0.641791045$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 7.5x+9.5.

$$-16.5+3.5x=-30x-38$$

Add 30x to both sides.

$$-16.5+3.5x+30x=-38$$

Combine 3.5x and 30x to get 33.5x.

$$-16.5+33.5x=-38$$

Add 16.5 to both sides.

$$33.5x=-38+16.5$$

Add -38 and 16.5 to get -21.5.

$$33.5x=-21.5$$

Divide both sides by 33.5.

$$x=\frac{-21.5}{33.5}$$

Expand \frac{-21.5}{33.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-215}{335}$$

Reduce the fraction \frac{-215}{335} to lowest terms by extracting and canceling out 5.

$$x=-\frac{43}{67}$$