Solve 10-6(8x-2)=9x-(34x)

Question

Solve the equation

x = \frac{22}{23}

Alternative Form

x \approx 0.956522

Evaluate

10 - 6 (8 x - 2) = 9 x - 34 x

Subtract the terms

More Steps

Evaluate

9 x - 34 x

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

(9 - 34) x

Subtract the numbers

- 25 x

10 - 6 (8 x - 2) = - 25 x

Move the expression to the left side

10 - 6 (8 x - 2) - (- 25 x) = 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

10 - 6 (8 x - 2) + 25 x = 0

Calculate the sum or difference

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Evaluate

10 - 6 (8 x - 2) + 25 x

Expand the expression

More Steps

Calculate

- 6 (8 x - 2)

Apply the distributive property

- 6 \times 8 x - (- 6 \times 2)

Multiply the numbers

- 48 x - (- 6 \times 2)

Multiply the numbers

- 48 x - (- 12)

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

- 48 x + 12

10 - 48 x + 12 + 25 x

Add the numbers

22 - 48 x + 25 x

Add the terms

More Steps

Evaluate

- 48 x + 25 x

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

(- 48 + 25) x

Add the numbers

- 23 x

22 - 23 x

22 - 23 x = 0

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

- 23 x = 0 - 22

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

- 23 x = - 22

Change the signs on both sides of the equation

23 x = 22

Divide both sides

\frac{23 x}{23} = \frac{22}{23}

Solution

x = \frac{22}{23}

Alternative Form

x \approx 0.956522

Show Solution

Rewrite the equation

23 x = 22

Evaluate

10 - 6 (8 x - 2) = 9 x - (34 x)

Evaluate

More Steps

Evaluate

10 - 6 (8 x - 2)

Expand the expression

More Steps

Calculate

- 6 (8 x - 2)

Apply the distributive property

- 6 \times 8 x - (- 6 \times 2)

Multiply the numbers

- 48 x - (- 6 \times 2)

Multiply the numbers

- 48 x - (- 12)

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

- 48 x + 12

10 - 48 x + 12

Add the numbers

22 - 48 x

22 - 48 x = 9 x - (34 x)

Evaluate

More Steps

Evaluate

9 x - 34 x

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

(9 - 34) x

Subtract the numbers

- 25 x

22 - 48 x = - 25 x

Move the variable to the left side

22 - 23 x = 0

Move the constant to the right side

- 23 x = - 22

Solution

23 x = 22

Show Solution

Solve the equation

Rewrite the equation

Graph