Solve 3(-5+c)-2(c-4)=2-7c-1

$$3 ( - 5 + c ) - 2 ( c - 4 ) = 2 - 7 c - 1$$

Solve for c

$$c=1$$

Steps for Solving Linear Equation

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

$$-15+3c-2\left(c-4\right)=2-7c-1$$

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

$$-15+3c-2c+8=2-7c-1$$

Combine 3c and -2c to get c.

$$-15+c+8=2-7c-1$$

Add -15 and 8 to get -7.

$$-7+c=2-7c-1$$

Subtract 1 from 2 to get 1.

$$-7+c=1-7c$$

Add 7c to both sides.

$$-7+c+7c=1$$

Combine c and 7c to get 8c.

$$-7+8c=1$$

Add 7 to both sides.

$$8c=1+7$$

Add 1 and 7 to get 8.

$$8c=8$$

Divide both sides by 8.

$$c=\frac{8}{8}$$

Divide 8 by 8 to get 1.

$$c=1$$