Solve for x 9-3x=2(5-2x)-(1-5x)

$9 - 3 x = 2 (5 - 2 x) - (1 - 5 x)$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 (5 - 2 x) - (1 - 5 x) = 9 - 3 x$

Step 2

Simplify $2 (5 - 2 x) - (1 - 5 x)$ .

Simplify each term.

Apply the distributive property.

$2 \cdot 5 + 2 (- 2 x) - (1 - 5 x) = 9 - 3 x$

Multiply $2$ by $5$ .

$10 + 2 (- 2 x) - (1 - 5 x) = 9 - 3 x$

Multiply $- 2$ by $2$ .

$10 - 4 x - (1 - 5 x) = 9 - 3 x$

Apply the distributive property.

$10 - 4 x - 1 \cdot 1 - (- 5 x) = 9 - 3 x$

Multiply $- 1$ by $1$ .

$10 - 4 x - 1 - (- 5 x) = 9 - 3 x$

Multiply $- 5$ by $- 1$ .

$10 - 4 x - 1 + 5 x = 9 - 3 x$

Simplify by adding terms.

Subtract $1$ from $10$ .

$- 4 x + 9 + 5 x = 9 - 3 x$

Add $- 4 x$ and $5 x$ .

$x + 9 = 9 - 3 x$

Step 3

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

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

$x + 9 + 3 x = 9$

Add $x$ and $3 x$ .

$4 x + 9 = 9$

Step 4

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

Subtract $9$ from both sides of the equation.

$4 x = 9 - 9$

Subtract $9$ from $9$ .

$4 x = 0$

Step 5

Divide each term in $4 x = 0$ by $4$ and simplify.

Divide each term in $4 x = 0$ by $4$ .

$\frac{4 x}{4} = \frac{0}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{0}{4}$

Divide $x$ by $1$ .

$x = \frac{0}{4}$

Simplify the right side.

Divide $0$ by $4$ .

$x = 0$

Solve for x 9-3x=2(5-2x)-(1-5x)

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