Solve 3-7(1-2x)=5-(x 9)

Question

Solve the equation

x = \frac{9}{23}

Alternative Form

x \approx 0.391304

Evaluate

3 - 7 (1 - 2 x) = 5 - (x \times 9)

Use the commutative property to reorder the terms

3 - 7 (1 - 2 x) = 5 - 9 x

Move the expression to the left side

3 - 7 (1 - 2 x) - (5 - 9 x) = 0

Subtract the terms

More Steps

Evaluate

3 - 7 (1 - 2 x) - (5 - 9 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 - 7 (1 - 2 x) - 5 + 9 x

Subtract the numbers

- 2 - 7 (1 - 2 x) + 9 x

- 2 - 7 (1 - 2 x) + 9 x = 0

Calculate the sum or difference

More Steps

Evaluate

- 2 - 7 (1 - 2 x) + 9 x

Expand the expression

More Steps

Calculate

- 7 (1 - 2 x)

Apply the distributive property

- 7 \times 1 - (- 7 \times 2 x)

Any expression multiplied by 1 remains the same

- 7 - (- 7 \times 2 x)

Multiply the numbers

- 7 - (- 14 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 7 + 14 x

- 2 - 7 + 14 x + 9 x

Subtract the numbers

- 9 + 14 x + 9 x

Add the terms

More Steps

Evaluate

14 x + 9 x

Collect like terms by calculating the sum or difference of their coefficients

(14 + 9) x

Add the numbers

23 x

- 9 + 23 x

- 9 + 23 x = 0

Move the constant to the right-hand side and change its sign

23 x = 0 + 9

Removing 0 doesn't change the value,so remove it from the expression

23 x = 9

Divide both sides

\frac{23 x}{23} = \frac{9}{23}

Solution

x = \frac{9}{23}

Alternative Form

x \approx 0.391304

Show Solution

Rewrite the equation

23 x = 9

Evaluate

3 - 7 (1 - 2 x) = 5 - (x \times 9)

Evaluate

More Steps

Evaluate

3 - 7 (1 - 2 x)

Expand the expression

More Steps

Calculate

- 7 (1 - 2 x)

Apply the distributive property

- 7 \times 1 - (- 7 \times 2 x)

Any expression multiplied by 1 remains the same

- 7 - (- 7 \times 2 x)

Multiply the numbers

- 7 - (- 14 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 7 + 14 x

3 - 7 + 14 x

Subtract the numbers

- 4 + 14 x

- 4 + 14 x = 5 - (x \times 9)

Use the commutative property to reorder the terms

- 4 + 14 x = 5 - 9 x

Move the variable to the left side

- 4 + 23 x = 5

Solution

23 x = 9

Show Solution

Solve the equation

Rewrite the equation

Graph