Pre-Algebra Examples

$2 z - 4 = - 3 z + 7$

Step 1

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

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Step 1.1

Add $3 z$ to both sides of the equation.

$2 z - 4 + 3 z = 7$

Step 1.2

Add $2 z$ and $3 z$ .

$5 z - 4 = 7$

Step 2

Move all terms not containing $z$ to the right side of the equation.

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Step 2.1

Add $4$ to both sides of the equation.

$5 z = 7 + 4$

Step 2.2

Add $7$ and $4$ .

$5 z = 11$

Step 3

Divide each term in $5 z = 11$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 z = 11$ by $5$ .

$\frac{5 z}{5} = \frac{11}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 z}{5} = \frac{11}{5}$

Step 3.2.1.2

Divide $z$ by $1$ .

$z = \frac{11}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$z = \frac{11}{5}$

Decimal Form:

$z = 2.2$

Mixed Number Form:

$z = 2 \frac{1}{5}$