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

Question

Solve the equation

$Solve for x$

x = - 5

Evaluate

3 (2 x + 3) - 4 (x - 1) = 3

Move the expression to the left side

3 (2 x + 3) - 4 (x - 1) - 3 = 0

Calculate

More Steps

Evaluate

3 (2 x + 3) - 4 (x - 1) - 3

Expand the expression

More Steps

Calculate

3 (2 x + 3)

Apply the distributive property

3 \times 2 x + 3 \times 3

Multiply the numbers

6 x + 3 \times 3

Multiply the numbers

6 x + 9

6 x + 9 - 4 (x - 1) - 3

Expand the expression

More Steps

Calculate

- 4 (x - 1)

Apply the distributive property

- 4 x - (- 4 \times 1)

Any expression multiplied by 1 remains the same

- 4 x - (- 4)

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 + 4

6 x + 9 - 4 x + 4 - 3

Subtract the terms

More Steps

Evaluate

6 x - 4 x

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

(6 - 4) x

Subtract the numbers

2 x

2 x + 9 + 4 - 3

Calculate the sum or difference

2 x + 10

2 x + 10 = 0

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

2 x = 0 - 10

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

2 x = - 10

Divide both sides

\frac{2 x}{2} = \frac{- 10}{2}

Divide the numbers

x = \frac{- 10}{2}

Solution

More Steps

Evaluate

\frac{- 10}{2}

Reduce the numbers

\frac{- 5}{1}

Calculate

- 5

x = - 5

Show Solution

Rewrite the equation

Rewrite in standard form

x = - 5

Evaluate

3 (2 x + 3) - 4 (x - 1) = 3

Evaluate

More Steps

Evaluate

3 (2 x + 3) - 4 (x - 1)

Expand the expression

More Steps

Calculate

3 (2 x + 3)

Apply the distributive property

3 \times 2 x + 3 \times 3

Multiply the numbers

6 x + 3 \times 3

Multiply the numbers

6 x + 9

6 x + 9 - 4 (x - 1)

Expand the expression

More Steps

Calculate

- 4 (x - 1)

Apply the distributive property

- 4 x - (- 4 \times 1)

Any expression multiplied by 1 remains the same

- 4 x - (- 4)

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 + 4

6 x + 9 - 4 x + 4

Subtract the terms

More Steps

Evaluate

6 x - 4 x

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

(6 - 4) x

Subtract the numbers

2 x

2 x + 9 + 4

Add the numbers

2 x + 13

2 x + 13 = 3

Move the constant to the right side

2 x = - 10

Solution

x = - 5

Show Solution

3(2x+3) 4(x 1)=3

Solve the equation

$Solve for x$

Rewrite the equation

Rewrite in standard form

Graph