Solve -x=6-7(x-3)

Question

Solve the equation

x = \frac{9}{2}

Alternative Form

x = 4.5

Evaluate

- x = 6 - 7 (x - 3)

Move the expression to the left side

- x - (6 - 7 (x - 3)) = 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

- x - 6 + 7 (x - 3) = 0

Calculate the sum or difference

More Steps

Evaluate

- x - 6 + 7 (x - 3)

Expand the expression

More Steps

Calculate

7 (x - 3)

Apply the distributive property

7 x - 7 \times 3

Multiply the numbers

7 x - 21

- x - 6 + 7 x - 21

Add the terms

More Steps

Evaluate

- x + 7 x

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

(- 1 + 7) x

Add the numbers

6 x

6 x - 6 - 21

Subtract the numbers

6 x - 27

6 x - 27 = 0

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

6 x = 0 + 27

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

6 x = 27

Divide both sides

\frac{6 x}{6} = \frac{27}{6}

Divide the numbers

x = \frac{27}{6}

Solution

x = \frac{9}{2}

Alternative Form

x = 4.5

Show Solution

Rewrite the equation

2 x = 9

Evaluate

- x = 6 - 7 (x - 3)

Evaluate

More Steps

Evaluate

6 - 7 (x - 3)

Expand the expression

More Steps

Calculate

- 7 (x - 3)

Apply the distributive property

- 7 x - (- 7 \times 3)

Multiply the numbers

- 7 x - (- 21)

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 x + 21

6 - 7 x + 21

Add the numbers

27 - 7 x

- x = 27 - 7 x

Move the variable to the left side

6 x = 27

Solution

2 x = 9

Show Solution

Solve the equation

Rewrite the equation

Graph