Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $7$ to both sides of the equation.

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

Step 1.3

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

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

Step 2

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

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Step 2.1

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

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Step 2.1.1

Add $- 7$ and $7$ .

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

Step 2.1.2

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

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

Step 2.2

Subtract $3 z$ from $8 z$ .

$5 z - 5 z = 0$

Step 2.3

Subtract $5 z$ from $5 z$ .

$0 = 0$

Step 3

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

Always true