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

Question

Solve the equation

x = \frac{1}{21}

Alternative Form

x = 0. \dot{0} 4761 \dot{9}

Evaluate

3 (9 x - 1) - (x \times 6) = - 2

Use the commutative property to reorder the terms

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

Move the expression to the left side

3 (9 x - 1) - 6 x - (- 2) = 0

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 (9 x - 1) - 6 x + 2 = 0

Calculate the sum or difference

More Steps

Evaluate

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

Expand the expression

More Steps

Calculate

3 (9 x - 1)

Apply the distributive property

3 \times 9 x - 3 \times 1

Multiply the numbers

27 x - 3 \times 1

Any expression multiplied by 1 remains the same

27 x - 3

27 x - 3 - 6 x + 2

Subtract the terms

More Steps

Evaluate

27 x - 6 x

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

(27 - 6) x

Subtract the numbers

21 x

21 x - 3 + 2

Add the numbers

21 x - 1

21 x - 1 = 0

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

21 x = 0 + 1

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

21 x = 1

Divide both sides

\frac{21 x}{21} = \frac{1}{21}

Solution

x = \frac{1}{21}

Alternative Form

x = 0. \dot{0} 4761 \dot{9}

Show Solution

Rewrite the equation

21 x = 1

Evaluate

3 (9 x - 1) - (x \times 6) = - 2

Evaluate

More Steps

Evaluate

3 (9 x - 1) - (x \times 6)

Use the commutative property to reorder the terms

3 (9 x - 1) - 6 x

Expand the expression

More Steps

Calculate

3 (9 x - 1)

Apply the distributive property

3 \times 9 x - 3 \times 1

Multiply the numbers

27 x - 3 \times 1

Any expression multiplied by 1 remains the same

27 x - 3

27 x - 3 - 6 x

Subtract the terms

More Steps

Evaluate

27 x - 6 x

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

(27 - 6) x

Subtract the numbers

21 x

21 x - 3

21 x - 3 = - 2

Solution

21 x = 1

Show Solution

Solve the equation

Rewrite the equation

Graph