Calculus Examples

$2 x - 6 = - 2 x + 4 (x - 2)$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 2 x + 4 (x - 2) = 2 x - 6$

Step 2

Simplify $- 2 x + 4 (x - 2)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 2 x + 4 x + 4 \cdot - 2 = 2 x - 6$

Step 2.1.2

Multiply $4$ by $- 2$ .

$- 2 x + 4 x - 8 = 2 x - 6$

Step 2.2

Add $- 2 x$ and $4 x$ .

$2 x - 8 = 2 x - 6$

Step 3

Move all terms containing $x$ to the left side of the equation.

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Step 3.1

Subtract $2 x$ from both sides of the equation.

$2 x - 8 - 2 x = - 6$

Step 3.2

Combine the opposite terms in $2 x - 8 - 2 x$ .

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Step 3.2.1

Subtract $2 x$ from $2 x$ .

$0 - 8 = - 6$

Step 3.2.2

Subtract $8$ from $0$ .

$- 8 = - 6$

Step 4

Since $- 8 \neq - 6$ , there are no solutions.

No solution