Solve -12(x-12)=-9(1+7x)

Question

Solve the equation

$Solve for x$

x = - 3

Evaluate

- 12 (x - 12) = - 9 (1 + 7 x)

Calculate

More Steps

Evaluate

- 12 (x - 12)

Apply the distributive property

- 12 x - (- 12 \times 12)

Multiply the numbers

- 12 x - (- 144)

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

- 12 x + 144

- 12 x + 144 = - 9 (1 + 7 x)

Calculate

More Steps

Evaluate

- 9 (1 + 7 x)

Apply the distributive property

- 9 \times 1 - 9 \times 7 x

Any expression multiplied by 1 remains the same

- 9 - 9 \times 7 x

Multiply the numbers

- 9 - 63 x

- 12 x + 144 = - 9 - 63 x

Move the expression to the left side

- 12 x + 144 - (- 9 - 63 x) = 0

Calculate the sum or difference

More Steps

Add the terms

- 12 x + 144 - (- 9 - 63 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

- 12 x + 144 + 9 + 63 x

Add the terms

More Steps

Evaluate

- 12 x + 63 x

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

(- 12 + 63) x

Add the numbers

51 x

51 x + 144 + 9

Add the numbers

51 x + 153

51 x + 153 = 0

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

51 x = 0 - 153

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

51 x = - 153

Divide both sides

\frac{51 x}{51} = \frac{- 153}{51}

Divide the numbers

x = \frac{- 153}{51}

Solution

More Steps

Evaluate

\frac{- 153}{51}

Reduce the numbers

\frac{- 3}{1}

Calculate

- 3

x = - 3

Show Solution

Rewrite the equation

Rewrite in standard form

x = - 3

Evaluate

- 12 (x - 12) = - 9 (1 + 7 x)

Multiply

More Steps

Evaluate

- 12 (x - 12)

Apply the distributive property

- 12 x - (- 12 \times 12)

Multiply the numbers

- 12 x - (- 144)

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

- 12 x + 144

- 12 x + 144 = - 9 (1 + 7 x)

Multiply

More Steps

Evaluate

- 9 (1 + 7 x)

Apply the distributive property

- 9 \times 1 - 9 \times 7 x

Any expression multiplied by 1 remains the same

- 9 - 9 \times 7 x

Multiply the numbers

- 9 - 63 x

- 12 x + 144 = - 9 - 63 x

Move the variable to the left side

51 x + 144 = - 9

Move the constant to the right side

51 x = - 153

Solution

x = - 3

Show Solution

12(x 12)= 9(1+7x)

Solve the equation

$Solve for x$

Rewrite the equation

Rewrite in standard form

Graph