Solve 4(7x-3)-6=6-4(3x-7)

Question

Solve the equation

x = \frac{13}{10}

Alternative Form

x = 1.3

Evaluate

4 (7 x - 3) - 6 = 6 - 4 (3 x - 7)

Move the expression to the left side

4 (7 x - 3) - 6 - (6 - 4 (3 x - 7)) = 0

Subtract the terms

More Steps

Evaluate

4 (7 x - 3) - 6 - (6 - 4 (3 x - 7))

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 (7 x - 3) - 6 - 6 + 4 (3 x - 7)

Subtract the numbers

4 (7 x - 3) - 12 + 4 (3 x - 7)

4 (7 x - 3) - 12 + 4 (3 x - 7) = 0

Calculate the sum or difference

More Steps

Evaluate

4 (7 x - 3) - 12 + 4 (3 x - 7)

Expand the expression

More Steps

Calculate

4 (7 x - 3)

Apply the distributive property

4 \times 7 x - 4 \times 3

Multiply the numbers

28 x - 4 \times 3

Multiply the numbers

28 x - 12

28 x - 12 - 12 + 4 (3 x - 7)

Expand the expression

More Steps

Calculate

4 (3 x - 7)

Apply the distributive property

4 \times 3 x - 4 \times 7

Multiply the numbers

12 x - 4 \times 7

Multiply the numbers

12 x - 28

28 x - 12 - 12 + 12 x - 28

Add the terms

More Steps

Evaluate

28 x + 12 x

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

(28 + 12) x

Add the numbers

40 x

40 x - 12 - 12 - 28

Subtract the numbers

40 x - 52

40 x - 52 = 0

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

40 x = 0 + 52

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

40 x = 52

Divide both sides

\frac{40 x}{40} = \frac{52}{40}

Divide the numbers

x = \frac{52}{40}

Solution

x = \frac{13}{10}

Alternative Form

x = 1.3

Show Solution

Rewrite the equation

10 x = 13

Evaluate

4 (7 x - 3) - 6 = 6 - 4 (3 x - 7)

Evaluate

More Steps

Evaluate

4 (7 x - 3) - 6

Expand the expression

More Steps

Calculate

4 (7 x - 3)

Apply the distributive property

4 \times 7 x - 4 \times 3

Multiply the numbers

28 x - 4 \times 3

Multiply the numbers

28 x - 12

28 x - 12 - 6

Subtract the numbers

28 x - 18

28 x - 18 = 6 - 4 (3 x - 7)

Evaluate

More Steps

Evaluate

6 - 4 (3 x - 7)

Expand the expression

More Steps

Calculate

- 4 (3 x - 7)

Apply the distributive property

- 4 \times 3 x - (- 4 \times 7)

Multiply the numbers

- 12 x - (- 4 \times 7)

Multiply the numbers

- 12 x - (- 28)

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

- 12 x + 28

6 - 12 x + 28

Add the numbers

34 - 12 x

28 x - 18 = 34 - 12 x

Move the variable to the left side

40 x - 18 = 34

Move the constant to the right side

40 x = 52

Solution

10 x = 13

Show Solution

Solve the equation

Rewrite the equation

Graph