Solve 3(x+6)=9-5(1-2x)

Question

Solve the equation

x = 2

Evaluate

3 (x + 6) = 9 - 5 (1 - 2 x)

Calculate

More Steps

Evaluate

3 (x + 6)

Apply the distributive property

3 x + 3 \times 6

Multiply the numbers

3 x + 18

3 x + 18 = 9 - 5 (1 - 2 x)

Calculate

More Steps

Evaluate

9 - 5 (1 - 2 x)

Expand the expression

More Steps

Calculate

- 5 (1 - 2 x)

Apply the distributive property

- 5 \times 1 - (- 5 \times 2 x)

Any expression multiplied by 1 remains the same

- 5 - (- 5 \times 2 x)

Multiply the numbers

- 5 - (- 10 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

- 5 + 10 x

9 - 5 + 10 x

Subtract the numbers

4 + 10 x

3 x + 18 = 4 + 10 x

Move the expression to the left side

3 x + 18 - (4 + 10 x) = 0

Calculate the sum or difference

More Steps

Add the terms

3 x + 18 - (4 + 10 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 x + 18 - 4 - 10 x

Subtract the terms

More Steps

Evaluate

3 x - 10 x

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

(3 - 10) x

Subtract the numbers

- 7 x

- 7 x + 18 - 4

Subtract the numbers

- 7 x + 14

- 7 x + 14 = 0

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

- 7 x = 0 - 14

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

- 7 x = - 14

Change the signs on both sides of the equation

7 x = 14

Divide both sides

\frac{7 x}{7} = \frac{14}{7}

Divide the numbers

x = \frac{14}{7}

Solution

More Steps

Evaluate

\frac{14}{7}

Reduce the numbers

\frac{2}{1}

Calculate

2

x = 2

Show Solution

Rewrite the equation

x = 2

Evaluate

3 (x + 6) = 9 - 5 (1 - 2 x)

Evaluate

More Steps

Evaluate

9 - 5 (1 - 2 x)

Expand the expression

More Steps

Calculate

- 5 (1 - 2 x)

Apply the distributive property

- 5 \times 1 - (- 5 \times 2 x)

Any expression multiplied by 1 remains the same

- 5 - (- 5 \times 2 x)

Multiply the numbers

- 5 - (- 10 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

- 5 + 10 x

9 - 5 + 10 x

Subtract the numbers

4 + 10 x

3 (x + 6) = 4 + 10 x

Multiply

More Steps

Evaluate

3 (x + 6)

Apply the distributive property

3 x + 3 \times 6

Multiply the numbers

3 x + 18

3 x + 18 = 4 + 10 x

Move the variable to the left side

- 7 x + 18 = 4

Move the constant to the right side

- 7 x = - 14

Multiply both sides

7 x = 14

Solution

x = 2

Show Solution

Solve the equation

Rewrite the equation

Graph