Solve for x 0.7(x-10)+0.5=1-0.6(20-2x)-0.5

$0.7 (x - 10) + 0.5 = 1 - 0.6 (20 - 2 x) - 0.5$

Step 1

Simplify $0.7 (x - 10) + 0.5$ .

Simplify each term.

Apply the distributive property.

$0.7 x + 0.7 \cdot - 10 + 0.5 = 1 - 0.6 (20 - 2 x) - 0.5$

Multiply $0.7$ by $- 10$ .

$0.7 x - 7 + 0.5 = 1 - 0.6 (20 - 2 x) - 0.5$

Add $- 7$ and $0.5$ .

$0.7 x - 6.5 = 1 - 0.6 (20 - 2 x) - 0.5$

Step 2

Simplify $1 - 0.6 (20 - 2 x) - 0.5$ .

Simplify each term.

Apply the distributive property.

$0.7 x - 6.5 = 1 - 0.6 \cdot 20 - 0.6 (- 2 x) - 0.5$

Multiply $- 0.6$ by $20$ .

$0.7 x - 6.5 = 1 - 12 - 0.6 (- 2 x) - 0.5$

Multiply $- 2$ by $- 0.6$ .

$0.7 x - 6.5 = 1 - 12 + 1.2 x - 0.5$

Simplify by subtracting numbers.

Subtract $12$ from $1$ .

$0.7 x - 6.5 = - 11 + 1.2 x - 0.5$

Subtract $0.5$ from $- 11$ .

$0.7 x - 6.5 = 1.2 x - 11.5$

Step 3

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

Subtract $1.2 x$ from both sides of the equation.

$0.7 x - 6.5 - 1.2 x = - 11.5$

Subtract $1.2 x$ from $0.7 x$ .

$- 0.5 x - 6.5 = - 11.5$

Step 4

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

Add $6.5$ to both sides of the equation.

$- 0.5 x = - 11.5 + 6.5$

Add $- 11.5$ and $6.5$ .

$- 0.5 x = - 5$

Step 5

Divide each term in $- 0.5 x = - 5$ by $- 0.5$ and simplify.

Divide each term in $- 0.5 x = - 5$ by $- 0.5$ .

$\frac{- 0.5 x}{- 0.5} = \frac{- 5}{- 0.5}$

Simplify the left side.

Cancel the common factor of $- 0.5$ .

Cancel the common factor.

$\frac{- 0.5 x}{- 0.5} = \frac{- 5}{- 0.5}$

Divide $x$ by $1$ .

$x = \frac{- 5}{- 0.5}$

Simplify the right side.

Divide $- 5$ by $- 0.5$ .

$x = 10$

Solve for x 0.7(x-10)+0.5=1-0.6(20-2x)-0.5

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