Solve 5(c+3)+4(c-2)=2(c+2)

$$5 ( c + 3 ) + 4 ( c - 2 ) = 2 ( c + 2 )$$

Solve for c

$$c=-\frac{3}{7}\approx -0.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by c+3.

$$5c+15+4\left(c-2\right)=2\left(c+2\right)$$

Use the distributive property to multiply 4 by c-2.

$$5c+15+4c-8=2\left(c+2\right)$$

Combine 5c and 4c to get 9c.

$$9c+15-8=2\left(c+2\right)$$

Subtract 8 from 15 to get 7.

$$9c+7=2\left(c+2\right)$$

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

$$9c+7=2c+4$$

Subtract 2c from both sides.

$$9c+7-2c=4$$

Combine 9c and -2c to get 7c.

$$7c+7=4$$

Subtract 7 from both sides.

$$7c=4-7$$

Subtract 7 from 4 to get -3.

$$7c=-3$$

Divide both sides by 7.

$$c=\frac{-3}{7}$$

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$c=-\frac{3}{7}$$