Algebra Examples

$z = 6 x$ , $z = 7$

Step 1

Substitute $7$ in for $z$ .

$7 = 6 x$

Step 2

Solve for $x$ .

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Step 2.1

Rewrite the equation as $6 x = 7$ .

$6 x = 7$

Step 2.2

Divide each term in $6 x = 7$ by $6$ and simplify.

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Step 2.2.1

Divide each term in $6 x = 7$ by $6$ .

$\frac{6 x}{6} = \frac{7}{6}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $6$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{7}{6}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{7}{6}$

Step 3