Algebra Examples

$3 = x + 3 - 5 x$

Step 1

Rewrite the equation as $x + 3 - 5 x = 3$ .

$x + 3 - 5 x = 3$

Step 2

Subtract $5 x$ from $x$ .

$- 4 x + 3 = 3$

Step 3

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

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Step 3.1

Subtract $3$ from both sides of the equation.

$- 4 x = 3 - 3$

Step 3.2

Subtract $3$ from $3$ .

$- 4 x = 0$

Step 4

Divide each term in $- 4 x = 0$ by $- 4$ and simplify.

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Step 4.1

Divide each term in $- 4 x = 0$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{0}{- 4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{0}{- 4}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{- 4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $- 4$ .

$x = 0$