Algebra Examples

$\frac{x}{a} + b = c$

Step 1

Subtract $b$ from both sides of the equation.

$\frac{x}{a} = c - b$

Step 2

Multiply both sides by $a$ .

$\frac{x}{a} a = (c - b) a$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $a$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{x}{a} a = (c - b) a$

Step 3.1.1.2

Rewrite the expression.

$x = (c - b) a$

$x = (c - b) a$

$x = (c - b) a$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $(c - b) a$ .

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Step 3.2.1.1

Apply the distributive property.

$x = c a - b a$

Step 3.2.1.2

Simplify the expression.

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Step 3.2.1.2.1

Reorder $c$ and $a$ .

$x = a c - b a$

Step 3.2.1.2.2

Move $b$ .

$x = a c - 1 a b$

Step 3.2.1.2.3

Reorder $a c$ and $- 1 a b$ .

$x = - 1 a b + a c$

$x = - 1 a b + a c$

$x = - 1 a b + a c$

$x = - 1 a b + a c$

$x = - 1 a b + a c$

Step 4

Rewrite $- 1 a$ as $- a$ .

$x = - a b + a c$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$