Finite Math Examples

$10 x - 6 = 4 x + 21 + 3$

Step 1

Add $21$ and $3$ .

$10 x - 6 = 4 x + 24$

Step 2

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

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Step 2.1

Subtract $4 x$ from both sides of the equation.

$10 x - 6 - 4 x = 24$

Step 2.2

Subtract $4 x$ from $10 x$ .

$6 x - 6 = 24$

Step 3

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

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Step 3.1

Add $6$ to both sides of the equation.

$6 x = 24 + 6$

Step 3.2

Add $24$ and $6$ .

$6 x = 30$

Step 4

Divide each term in $6 x = 30$ by $6$ and simplify.

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Step 4.1

Divide each term in $6 x = 30$ by $6$ .

$\frac{6 x}{6} = \frac{30}{6}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $6$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{30}{6}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{30}{6}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $30$ by $6$ .

$x = 5$