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

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

Solve for c

$$c=\frac{5}{8}=0.625$$

Steps for Solving Linear Equation

To find the opposite of 1-c, find the opposite of each term.

$$-5c-1-\left(-c\right)+2\left(4c-1\right)=c-\left(5c-2\right)$$

The opposite of -c is c.

$$-5c-1+c+2\left(4c-1\right)=c-\left(5c-2\right)$$

Combine -5c and c to get -4c.

$$-4c-1+2\left(4c-1\right)=c-\left(5c-2\right)$$

Use the distributive property to multiply 2 by 4c-1.

$$-4c-1+8c-2=c-\left(5c-2\right)$$

Combine -4c and 8c to get 4c.

$$4c-1-2=c-\left(5c-2\right)$$

Subtract 2 from -1 to get -3.

$$4c-3=c-\left(5c-2\right)$$

To find the opposite of 5c-2, find the opposite of each term.

$$4c-3=c-5c-\left(-2\right)$$

The opposite of -2 is 2.

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

Combine c and -5c to get -4c.

$$4c-3=-4c+2$$

Add 4c to both sides.

$$4c-3+4c=2$$

Combine 4c and 4c to get 8c.

$$8c-3=2$$

Add 3 to both sides.

$$8c=2+3$$

Add 2 and 3 to get 5.

$$8c=5$$

Divide both sides by 8.

$$c=\frac{5}{8}$$