Solve 4(2x-3)-(-x 8)=12x 1

Question

4 (2 x - 3) - (- x \times 8) = 12 x \times 1

Solve the equation

x = 3

Evaluate

4 (2 x - 3) - (- x \times 8) = 12 x \times 1

Simplify

More Steps

Evaluate

4 (2 x - 3) - (- x \times 8)

Use the commutative property to reorder the terms

4 (2 x - 3) - (- 8 x)

Rewrite the expression

4 (2 x - 3) + 8 x

4 (2 x - 3) + 8 x = 12 x \times 1

Multiply the terms

4 (2 x - 3) + 8 x = 12 x

Move the expression to the left side

4 (2 x - 3) + 8 x - 12 x = 0

Subtract the terms

More Steps

Evaluate

8 x - 12 x

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

(8 - 12) x

Subtract the numbers

- 4 x

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

Calculate

More Steps

Evaluate

4 (2 x - 3) - 4 x

Expand the expression

More Steps

Calculate

4 (2 x - 3)

Apply the distributive property

4 \times 2 x - 4 \times 3

Multiply the numbers

8 x - 4 \times 3

Multiply the numbers

8 x - 12

8 x - 12 - 4 x

Subtract the terms

More Steps

Evaluate

8 x - 4 x

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

(8 - 4) x

Subtract the numbers

4 x

4 x - 12

4 x - 12 = 0

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

4 x = 0 + 12

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

4 x = 12

Divide both sides

\frac{4 x}{4} = \frac{12}{4}

Divide the numbers

x = \frac{12}{4}

Solution

More Steps

Evaluate

\frac{12}{4}

Reduce the numbers

\frac{3}{1}

Calculate

3

x = 3

Show Solution

Rewrite the equation

x = 3

Evaluate

4 (2 x - 3) - (- x \times 8) = 12 x \times 1

Evaluate

More Steps

Evaluate

4 (2 x - 3) - (- x \times 8)

Use the commutative property to reorder the terms

4 (2 x - 3) - (- 8 x)

Rewrite the expression

4 (2 x - 3) + 8 x

Expand the expression

More Steps

Calculate

4 (2 x - 3)

Apply the distributive property

4 \times 2 x - 4 \times 3

Multiply the numbers

8 x - 4 \times 3

Multiply the numbers

8 x - 12

8 x - 12 + 8 x

Add the terms

More Steps

Evaluate

8 x + 8 x

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

(8 + 8) x

Add the numbers

16 x

16 x - 12

16 x - 12 = 12 x \times 1

Evaluate

16 x - 12 = 12 x

Move the variable to the left side

4 x - 12 = 0

Move the constant to the right side

4 x = 12

Solution

x = 3

Show Solution

Solve the equation

Rewrite the equation

Graph