Algebra Examples

$5 p - 8 = 1 + 5 p - 9$

Step 1

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

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Step 1.1

Subtract $1$ from both sides of the equation.

$5 p - 8 - 1 = 5 p - 9$

Step 1.2

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

$5 p - 8 - 1 - 5 p = - 9$

Step 1.3

Add $9$ to both sides of the equation.

$5 p - 8 - 1 - 5 p + 9 = 0$

Step 2

Simplify $5 p - 8 - 1 - 5 p + 9$ .

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Step 2.1

Combine the opposite terms in $5 p - 8 - 1 - 5 p + 9$ .

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Step 2.1.1

Subtract $5 p$ from $5 p$ .

$0 - 8 - 1 + 9 = 0$

Step 2.1.2

Subtract $8$ from $0$ .

$- 8 - 1 + 9 = 0$

Step 2.2

Subtract $1$ from $- 8$ .

$- 9 + 9 = 0$

Step 2.3

Add $- 9$ and $9$ .

$0 = 0$

Step 3

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

Always true