Solve -43=-5c+4(2c+7)

$$- 43 = - 5 c + 4 ( 2 c + 7 )$$

Solve for c

$$c = -\frac{71}{3} = -23\frac{2}{3} \approx -23.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2c+7.

$$-43=-5c+8c+28$$

Combine -5c and 8c to get 3c.

$$-43=3c+28$$

Swap sides so that all variable terms are on the left hand side.

$$3c+28=-43$$

Subtract 28 from both sides.

$$3c=-43-28$$

Subtract 28 from -43 to get -71.

$$3c=-71$$

Divide both sides by 3.

$$c=\frac{-71}{3}$$

Fraction \frac{-71}{3} can be rewritten as -\frac{71}{3} by extracting the negative sign.

$$c=-\frac{71}{3}$$