Trigonometry Examples

$6 x - 4 (2 x - 11) = 3 (5 - x) + 4$

Step 1

Simplify $6 x - 4 (2 x - 11)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$6 x - 4 (2 x) - 4 \cdot - 11 = 3 (5 - x) + 4$

Step 1.1.2

Multiply $2$ by $- 4$ .

$6 x - 8 x - 4 \cdot - 11 = 3 (5 - x) + 4$

Step 1.1.3

Multiply $- 4$ by $- 11$ .

$6 x - 8 x + 44 = 3 (5 - x) + 4$

Step 1.2

Subtract $8 x$ from $6 x$ .

$- 2 x + 44 = 3 (5 - x) + 4$

Step 2

Simplify $3 (5 - x) + 4$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 2 x + 44 = 3 \cdot 5 + 3 (- x) + 4$

Step 2.1.2

Multiply $3$ by $5$ .

$- 2 x + 44 = 15 + 3 (- x) + 4$

Step 2.1.3

Multiply $- 1$ by $3$ .

$- 2 x + 44 = 15 - 3 x + 4$

Step 2.2

Add $15$ and $4$ .

$- 2 x + 44 = - 3 x + 19$

Step 3

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

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Step 3.1

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

$- 2 x + 44 + 3 x = 19$

Step 3.2

Add $- 2 x$ and $3 x$ .

$x + 44 = 19$

Step 4

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

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Step 4.1

Subtract $44$ from both sides of the equation.

$x = 19 - 44$

Step 4.2

Subtract $44$ from $19$ .

$x = - 25$