Solve 2(x 7)-(1-x)=123x

Question

Solve the equation

x = - \frac{1}{108}

Alternative Form

x = - 0.00 \dot{9} 2 \dot{5}

Evaluate

2 (x \times 7) - (1 - x) = 123 x

Remove the parentheses

2 x \times 7 - (1 - x) = 123 x

Simplify

More Steps

Evaluate

2 x \times 7 - (1 - x)

Multiply the terms

14 x - (1 - 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

14 x - 1 + x

Add the terms

More Steps

Evaluate

14 x + x

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

(14 + 1) x

Add the numbers

15 x

15 x - 1

15 x - 1 = 123 x

Move the variable to the left side

15 x - 1 - 123 x = 0

Subtract the terms

More Steps

Evaluate

15 x - 123 x

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

(15 - 123) x

Subtract the numbers

- 108 x

- 108 x - 1 = 0

Move the constant to the right side

- 108 x = 0 + 1

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

- 108 x = 1

Change the signs on both sides of the equation

108 x = - 1

Divide both sides

\frac{108 x}{108} = \frac{- 1}{108}

Divide the numbers

x = \frac{- 1}{108}

Solution

x = - \frac{1}{108}

Alternative Form

x = - 0.00 \dot{9} 2 \dot{5}

Show Solution

Rewrite the equation

108 x = - 1

Evaluate

2 (x \times 7) - (1 - x) = 123 x

Evaluate

More Steps

Evaluate

2 (x \times 7) - (1 - x)

Remove the parentheses

2 x \times 7 - (1 - x)

Multiply the terms

14 x - (1 - 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

14 x - 1 + x

Add the terms

More Steps

Evaluate

14 x + x

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

(14 + 1) x

Add the numbers

15 x

15 x - 1

15 x - 1 = 123 x

Move the variable to the left side

- 108 x - 1 = 0

Move the constant to the right side

- 108 x = 1

Solution

108 x = - 1

Show Solution

Solve the equation

Rewrite the equation

Graph