Solve 2(5x 1)=2-5(4x-3)

Question

2 (5 x \times 1) = 2 - 5 (4 x - 3)

Solve the equation

x = \frac{17}{30}

Alternative Form

x = 0.5 \dot{6}

Evaluate

2 (5 x \times 1) = 2 - 5 (4 x - 3)

Remove the parentheses

2 \times 5 x \times 1 = 2 - 5 (4 x - 3)

Multiply the terms

More Steps

Evaluate

2 \times 5 x \times 1

Rewrite the expression

2 \times 5 x

Multiply the terms

10 x

10 x = 2 - 5 (4 x - 3)

Move the expression to the left side

10 x - (2 - 5 (4 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

10 x - 2 + 5 (4 x - 3) = 0

Calculate the sum or difference

More Steps

Evaluate

10 x - 2 + 5 (4 x - 3)

Expand the expression

More Steps

Calculate

5 (4 x - 3)

Apply the distributive property

5 \times 4 x - 5 \times 3

Multiply the numbers

20 x - 5 \times 3

Multiply the numbers

20 x - 15

10 x - 2 + 20 x - 15

Add the terms

More Steps

Evaluate

10 x + 20 x

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

(10 + 20) x

Add the numbers

30 x

30 x - 2 - 15

Subtract the numbers

30 x - 17

30 x - 17 = 0

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

30 x = 0 + 17

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

30 x = 17

Divide both sides

\frac{30 x}{30} = \frac{17}{30}

Solution

x = \frac{17}{30}

Alternative Form

x = 0.5 \dot{6}

Show Solution

Rewrite the equation

30 x = 17

Evaluate

2 (5 x \times 1) = 2 - 5 (4 x - 3)

Evaluate

More Steps

Evaluate

2 (5 x \times 1)

Remove the parentheses

2 \times 5 x \times 1

Rewrite the expression

2 \times 5 x

Multiply the terms

10 x

10 x = 2 - 5 (4 x - 3)

Evaluate

More Steps

Evaluate

2 - 5 (4 x - 3)

Expand the expression

More Steps

Calculate

- 5 (4 x - 3)

Apply the distributive property

- 5 \times 4 x - (- 5 \times 3)

Multiply the numbers

- 20 x - (- 5 \times 3)

Multiply the numbers

- 20 x - (- 15)

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

- 20 x + 15

2 - 20 x + 15

Add the numbers

17 - 20 x

10 x = 17 - 20 x

Solution

30 x = 17

Show Solution

Solve the equation

Rewrite the equation

Graph