Solve by Factoring 8z-7=3z-7+5z

$8 z - 7 = 3 z - 7 + 5 z$

Step 1

Move all the expressions to the left side of the equation.

Subtract $3 z$ from both sides of the equation.

$8 z - 7 - 3 z = - 7 + 5 z$

Add $7$ to both sides of the equation.

$8 z - 7 - 3 z + 7 = 5 z$

Subtract $5 z$ from both sides of the equation.

$8 z - 7 - 3 z + 7 - 5 z = 0$

Step 2

Simplify $8 z - 7 - 3 z + 7 - 5 z$ .

Combine the opposite terms in $8 z - 7 - 3 z + 7 - 5 z$ .

Add $- 7$ and $7$ .

$8 z - 3 z + 0 - 5 z = 0$

Add $8 z - 3 z$ and $0$ .

$8 z - 3 z - 5 z = 0$

Subtract $3 z$ from $8 z$ .

$5 z - 5 z = 0$

Subtract $5 z$ from $5 z$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true