Pre-Algebra Examples

$5 x - 8 (x + 5) = \sqrt{3} - 3 x$

Step 1

Simplify $5 x - 8 (x + 5)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 x - 8 x - 8 \cdot 5 = \sqrt{3} - 3 x$

Step 1.1.2

Multiply $- 8$ by $5$ .

$5 x - 8 x - 40 = \sqrt{3} - 3 x$

Step 1.2

Subtract $8 x$ from $5 x$ .

$- 3 x - 40 = \sqrt{3} - 3 x$

Step 2

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

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Step 2.1

Add $3 x$ to both sides of the equation.

$- 3 x - 40 + 3 x = \sqrt{3}$

Step 2.2

Combine the opposite terms in $- 3 x - 40 + 3 x$ .

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Step 2.2.1

Add $- 3 x$ and $3 x$ .

$0 - 40 = \sqrt{3}$

Step 2.2.2

Subtract $40$ from $0$ .

$- 40 = \sqrt{3}$

Step 3

Since $- 40 \neq \sqrt{3}$ , there are no solutions.

No solution