Algebra Examples

$2 = \frac{3 - x}{1.5}$

Step 1

Rewrite the equation as $\frac{3 - x}{1.5} = 2$ .

$\frac{3 - x}{1.5} = 2$

Step 2

Multiply both sides by $1.5$ .

$\frac{3 - x}{1.5} \cdot 1.5 = 2 \cdot 1.5$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{3 - x}{1.5} \cdot 1.5$ .

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Step 3.1.1.1

Cancel the common factor of $1.5$ .

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Step 3.1.1.1.1

Cancel the common factor.

$\frac{3 - x}{1.5} \cdot 1.5 = 2 \cdot 1.5$

Step 3.1.1.1.2

Rewrite the expression.

$3 - x = 2 \cdot 1.5$

Step 3.1.1.2

Reorder $3$ and $- x$ .

$- x + 3 = 2 \cdot 1.5$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $2$ by $1.5$ .

$- x + 3 = 3$

Step 4

Solve for $x$ .

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Step 4.1

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

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Step 4.1.1

Subtract $3$ from both sides of the equation.

$- x = 3 - 3$

Step 4.1.2

Subtract $3$ from $3$ .

$- x = 0$

Step 4.2

Divide each term in $- x = 0$ by $- 1$ and simplify.

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Step 4.2.1

Divide each term in $- x = 0$ by $- 1$ .

$\frac{- x}{- 1} = \frac{0}{- 1}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{0}{- 1}$

Step 4.2.2.2

Divide $x$ by $1$ .

$x = \frac{0}{- 1}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Divide $0$ by $- 1$ .

$x = 0$