Solve -2(4x+3) + 6 = 2(2x-3) - 10x

Question

Solve the equation

$Solve for x$

x = 3

Evaluate

- 2 (4 x + 3) + 6 = 2 (2 x - 3) - 10 x

Add the terms

More Steps

Evaluate

- 2 (4 x + 3) + 6

Rewrite the expression

- 8 x - 6 + 6

Since two opposites add up to 0,remove them form the expression

- 8 x

- 8 x = 2 (2 x - 3) - 10 x

Move the expression to the left side

- 8 x - (2 (2 x - 3) - 10 x) = 0

Subtract the terms

More Steps

Evaluate

- 8 x - (2 (2 x - 3) - 10 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

- 8 x - 2 (2 x - 3) + 10 x

Add the terms

More Steps

Evaluate

- 8 x + 10 x

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

(- 8 + 10) x

Add the numbers

2 x

2 x - 2 (2 x - 3)

2 x - 2 (2 x - 3) = 0

Calculate

More Steps

Evaluate

2 x - 2 (2 x - 3)

Expand the expression

More Steps

Calculate

- 2 (2 x - 3)

Apply the distributive property

- 2 \times 2 x - (- 2 \times 3)

Multiply the numbers

- 4 x - (- 2 \times 3)

Multiply the numbers

- 4 x - (- 6)

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

- 4 x + 6

2 x - 4 x + 6

Subtract the terms

More Steps

Evaluate

2 x - 4 x

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

(2 - 4) x

Subtract the numbers

- 2 x

- 2 x + 6

- 2 x + 6 = 0

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

- 2 x = 0 - 6

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

- 2 x = - 6

Change the signs on both sides of the equation

2 x = 6

Divide both sides

\frac{2 x}{2} = \frac{6}{2}

Divide the numbers

x = \frac{6}{2}

Solution

More Steps

Evaluate

\frac{6}{2}

Reduce the numbers

\frac{3}{1}

Calculate

3

x = 3

Show Solution

Rewrite the equation

Rewrite in standard form

x = 3

Evaluate

- 2 (4 x + 3) + 6 = 2 (2 x - 3) - 10 x

Evaluate

More Steps

Evaluate

- 2 (4 x + 3) + 6

Expand the expression

More Steps

Calculate

- 2 (4 x + 3)

Apply the distributive property

- 2 \times 4 x - 2 \times 3

Multiply the numbers

- 8 x - 2 \times 3

Multiply the numbers

- 8 x - 6

- 8 x - 6 + 6

Since two opposites add up to 0,remove them form the expression

- 8 x

- 8 x = 2 (2 x - 3) - 10 x

Evaluate

More Steps

Evaluate

2 (2 x - 3) - 10 x

Expand the expression

More Steps

Calculate

2 (2 x - 3)

Apply the distributive property

2 \times 2 x - 2 \times 3

Multiply the numbers

4 x - 2 \times 3

Multiply the numbers

4 x - 6

4 x - 6 - 10 x

Subtract the terms

More Steps

Evaluate

4 x - 10 x

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

(4 - 10) x

Subtract the numbers

- 6 x

- 6 x - 6

- 8 x = - 6 x - 6

Move the variable to the left side

- 2 x = - 6

Multiply both sides

2 x = 6

Solution

x = 3

Show Solution

2(4x+3) + 6 = 2(2x 3) 10x

Solve the equation

$Solve for x$

Rewrite the equation

Rewrite in standard form

Graph