Solve for x 15-(7x+20)=0.5(6x-14)

$15 - (7 x + 20) = 0.5 (6 x - 14)$

Simplify $15 - (7 x + 20)$ .

Simplify each term.

Apply the distributive property.

$15 - (7 x) - 1 \cdot 20 = 0.5 (6 x - 14)$

Multiply $7$ by $- 1$ .

$15 - 7 x - 1 \cdot 20 = 0.5 (6 x - 14)$

Multiply $- 1$ by $20$ .

$15 - 7 x - 20 = 0.5 (6 x - 14)$

Subtract $20$ from $15$ .

$- 7 x - 5 = 0.5 (6 x - 14)$

Simplify $0.5 (6 x - 14)$ .

Apply the distributive property.

$- 7 x - 5 = 0.5 (6 x) + 0.5 \cdot - 14$

Multiply.

Multiply $6$ by $0.5$ .

$- 7 x - 5 = 3 x + 0.5 \cdot - 14$

Multiply $0.5$ by $- 14$ .

$- 7 x - 5 = 3 x - 7$

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

Subtract $3 x$ from both sides of the equation.

$- 7 x - 5 - 3 x = - 7$

Subtract $3 x$ from $- 7 x$ .

$- 10 x - 5 = - 7$

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

Add $5$ to both sides of the equation.

$- 10 x = - 7 + 5$

Add $- 7$ and $5$ .

$- 10 x = - 2$

Divide each term in $- 10 x = - 2$ by $- 10$ and simplify.

Divide each term in $- 10 x = - 2$ by $- 10$ .

$\frac{- 10 x}{- 10} = \frac{- 2}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 x}{- 10} = \frac{- 2}{- 10}$

Divide $x$ by $1$ .

$x = \frac{- 2}{- 10}$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 10$ .

Factor $- 2$ out of $- 2$ .

$x = \frac{- 2 (1)}{- 10}$

Cancel the common factors.

Factor $- 2$ out of $- 10$ .

$x = \frac{- 2 \cdot 1}{- 2 \cdot 5}$

Cancel the common factor.

$x = \frac{- 2 \cdot 1}{- 2 \cdot 5}$

Rewrite the expression.

$x = \frac{1}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{5}$

Decimal Form:

$x = 0.2$

Solve for x 15-(7x+20)=0.5(6x-14)

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