Algebra Examples

$\frac{(a + b) x}{2} = s$

Step 1

Multiply both sides of the equation by $2$ .

$2 \frac{(a + b) x}{2} = 2 s$

Step 2

Simplify the left side.

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Step 2.1

Simplify $2 \frac{(a + b) x}{2}$ .

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Step 2.1.1

Cancel the common factor of $2$ .

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Step 2.1.1.1

Cancel the common factor.

$2 \frac{(a + b) x}{2} = 2 s$

Step 2.1.1.2

Rewrite the expression.

$(a + b) x = 2 s$

Step 2.1.2

Apply the distributive property.

$a x + b x = 2 s$

Step 3

Factor $x$ out of $a x + b x$ .

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Step 3.1

Factor $x$ out of $a x$ .

$x a + b x = 2 s$

Step 3.2

Factor $x$ out of $b x$ .

$x a + x b = 2 s$

Step 3.3

Factor $x$ out of $x a + x b$ .

$x (a + b) = 2 s$

Step 4

Divide each term in $x (a + b) = 2 s$ by $a + b$ and simplify.

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Step 4.1

Divide each term in $x (a + b) = 2 s$ by $a + b$ .

$\frac{x (a + b)}{a + b} = \frac{2 s}{a + b}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $a + b$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{x (a + b)}{a + b} = \frac{2 s}{a + b}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{2 s}{a + b}$