Trigonometry Examples

$- 10 - 3 x = 7 (- 7 x + 5)$

Step 1

Simplify $7 (- 7 x + 5)$ .

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Step 1.1

Rewrite.

$- 10 - 3 x = 0 + 0 + 7 (- 7 x + 5)$

Step 1.2

Simplify by adding zeros.

$- 10 - 3 x = 7 (- 7 x + 5)$

Step 1.3

Apply the distributive property.

$- 10 - 3 x = 7 (- 7 x) + 7 \cdot 5$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 7$ by $7$ .

$- 10 - 3 x = - 49 x + 7 \cdot 5$

Step 1.4.2

Multiply $7$ by $5$ .

$- 10 - 3 x = - 49 x + 35$

Step 2

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

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Step 2.1

Add $49 x$ to both sides of the equation.

$- 10 - 3 x + 49 x = 35$

Step 2.2

Add $- 3 x$ and $49 x$ .

$- 10 + 46 x = 35$

Step 3

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

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Step 3.1

Add $10$ to both sides of the equation.

$46 x = 35 + 10$

Step 3.2

Add $35$ and $10$ .

$46 x = 45$

Step 4

Divide each term in $46 x = 45$ by $46$ and simplify.

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Step 4.1

Divide each term in $46 x = 45$ by $46$ .

$\frac{46 x}{46} = \frac{45}{46}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $46$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{46 x}{46} = \frac{45}{46}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{45}{46}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{45}{46}$

Decimal Form:

$x = 0.97826086 \dots$