Solve (4x-8)2-104x-8 = 34x - 36

Question

Solve the equation

x = \frac{6}{65}

Alternative Form

x = 0.0 \dot{9} 2307 \dot{6}

Evaluate

(4 x - 8) \times 2 - 104 x - 8 = 34 x - 36

Multiply the terms

2 (4 x - 8) - 104 x - 8 = 34 x - 36

Move the expression to the left side

2 (4 x - 8) - 104 x - 8 - (34 x - 36) = 0

Subtract the terms

More Steps

Evaluate

2 (4 x - 8) - 104 x - 8 - (34 x - 36)

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

2 (4 x - 8) - 104 x - 8 - 34 x + 36

Subtract the terms

More Steps

Evaluate

- 104 x - 34 x

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

(- 104 - 34) x

Subtract the numbers

- 138 x

2 (4 x - 8) - 138 x - 8 + 36

Add the numbers

2 (4 x - 8) - 138 x + 28

2 (4 x - 8) - 138 x + 28 = 0

Calculate the sum or difference

More Steps

Evaluate

2 (4 x - 8) - 138 x + 28

Expand the expression

More Steps

Calculate

2 (4 x - 8)

Apply the distributive property

2 \times 4 x - 2 \times 8

Multiply the numbers

8 x - 2 \times 8

Multiply the numbers

8 x - 16

8 x - 16 - 138 x + 28

Subtract the terms

More Steps

Evaluate

8 x - 138 x

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

(8 - 138) x

Subtract the numbers

- 130 x

- 130 x - 16 + 28

Add the numbers

- 130 x + 12

- 130 x + 12 = 0

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

- 130 x = 0 - 12

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

- 130 x = - 12

Change the signs on both sides of the equation

130 x = 12

Divide both sides

\frac{130 x}{130} = \frac{12}{130}

Divide the numbers

x = \frac{12}{130}

Solution

x = \frac{6}{65}

Alternative Form

x = 0.0 \dot{9} 2307 \dot{6}

Show Solution

Rewrite the equation

65 x = 6

Evaluate

(4 x - 8) \times 2 - 104 x - 8 = 34 x - 36

Evaluate

More Steps

Evaluate

(4 x - 8) \times 2 - 104 x - 8

Multiply the terms

2 (4 x - 8) - 104 x - 8

Expand the expression

More Steps

Calculate

2 (4 x - 8)

Apply the distributive property

2 \times 4 x - 2 \times 8

Multiply the numbers

8 x - 2 \times 8

Multiply the numbers

8 x - 16

8 x - 16 - 104 x - 8

Subtract the terms

More Steps

Evaluate

8 x - 104 x

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

(8 - 104) x

Subtract the numbers

- 96 x

- 96 x - 16 - 8

Subtract the numbers

- 96 x - 24

- 96 x - 24 = 34 x - 36

Move the variable to the left side

- 130 x - 24 = - 36

Move the constant to the right side

- 130 x = - 12

Multiply both sides

130 x = 12

Solution

65 x = 6

Show Solution

Solve the equation

Rewrite the equation

Graph