Pre-Algebra Examples

$4 (x - 5) - 5 = 6 x + 7.4 - 4 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 x + 7.4 - 4 x = 4 (x - 5) - 5$

Step 2

Subtract $4 x$ from $6 x$ .

$2 x + 7.4 = 4 (x - 5) - 5$

Step 3

Simplify $4 (x - 5) - 5$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Apply the distributive property.

$2 x + 7.4 = 4 x + 4 \cdot - 5 - 5$

Step 3.1.2

Multiply $4$ by $- 5$ .

$2 x + 7.4 = 4 x - 20 - 5$

Step 3.2

Subtract $5$ from $- 20$ .

$2 x + 7.4 = 4 x - 25$

Step 4

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

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Step 4.1

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

$2 x + 7.4 - 4 x = - 25$

Step 4.2

Subtract $4 x$ from $2 x$ .

$- 2 x + 7.4 = - 25$

Step 5

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

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Step 5.1

Subtract $7.4$ from both sides of the equation.

$- 2 x = - 25 - 7.4$

Step 5.2

Subtract $7.4$ from $- 25$ .

$- 2 x = - 32.4$

Step 6

Divide each term in $- 2 x = - 32.4$ by $- 2$ and simplify.

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Step 6.1

Divide each term in $- 2 x = - 32.4$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 32.4}{- 2}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of $- 2$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 32.4}{- 2}$

Step 6.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 32.4}{- 2}$

Step 6.3

Simplify the right side.

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Step 6.3.1

Divide $- 32.4$ by $- 2$ .

$x = 16.2$