Solve 6x-3(x-1)=45x

Question

Solve the equation

x = \frac{1}{14}

Alternative Form

x = 0.0 \dot{7} 1428 \dot{5}

Evaluate

6 x - 3 (x - 1) = 45 x

Move the expression to the left side

6 x - 3 (x - 1) - 45 x = 0

Subtract the terms

More Steps

Evaluate

6 x - 45 x

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

(6 - 45) x

Subtract the numbers

- 39 x

- 39 x - 3 (x - 1) = 0

Calculate

More Steps

Evaluate

- 39 x - 3 (x - 1)

Expand the expression

More Steps

Calculate

- 3 (x - 1)

Apply the distributive property

- 3 x - (- 3 \times 1)

Any expression multiplied by 1 remains the same

- 3 x - (- 3)

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 + 3

- 39 x - 3 x + 3

Subtract the terms

More Steps

Evaluate

- 39 x - 3 x

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

(- 39 - 3) x

Subtract the numbers

- 42 x

- 42 x + 3

- 42 x + 3 = 0

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

- 42 x = 0 - 3

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

- 42 x = - 3

Change the signs on both sides of the equation

42 x = 3

Divide both sides

\frac{42 x}{42} = \frac{3}{42}

Divide the numbers

x = \frac{3}{42}

Solution

x = \frac{1}{14}

Alternative Form

x = 0.0 \dot{7} 1428 \dot{5}

Show Solution

Rewrite the equation

14 x = 1

Evaluate

6 x - 3 (x - 1) = 45 x

Evaluate

More Steps

Evaluate

6 x - 3 (x - 1)

Expand the expression

More Steps

Calculate

- 3 (x - 1)

Apply the distributive property

- 3 x - (- 3 \times 1)

Any expression multiplied by 1 remains the same

- 3 x - (- 3)

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 + 3

6 x - 3 x + 3

Subtract the terms

More Steps

Evaluate

6 x - 3 x

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

(6 - 3) x

Subtract the numbers

3 x

3 x + 3

3 x + 3 = 45 x

Move the variable to the left side

- 42 x + 3 = 0

Move the constant to the right side

- 42 x = - 3

Multiply both sides

42 x = 3

Solution

14 x = 1

Show Solution

Solve the equation

Rewrite the equation

Graph