Basic Math Examples

$6 z + 9 - 7 = 4 z + 2 z + 12$

Step 1

Since $z$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 z + 2 z + 12 = 6 z + 9 - 7$

Step 2

Add $4 z$ and $2 z$ .

$6 z + 12 = 6 z + 9 - 7$

Step 3

Subtract $7$ from $9$ .

$6 z + 12 = 6 z + 2$

Step 4

Move all terms containing $z$ to the left side of the equation.

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Step 4.1

Subtract $6 z$ from both sides of the equation.

$6 z + 12 - 6 z = 2$

Step 4.2

Combine the opposite terms in $6 z + 12 - 6 z$ .

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Step 4.2.1

Subtract $6 z$ from $6 z$ .

$0 + 12 = 2$

Step 4.2.2

Add $0$ and $12$ .

$12 = 2$

Step 5

Since $12 \neq 2$ , there are no solutions.

No solution