Algebra Examples

$0.5 (2 x + 8) = x - 4$

Step 1

Simplify $0.5 (2 x + 8)$ .

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Step 1.1

Rewrite.

$0 + 0 + 0.5 (2 x + 8) = x - 4$

Step 1.2

Simplify by adding zeros.

$0.5 (2 x + 8) = x - 4$

Step 1.3

Apply the distributive property.

$0.5 (2 x) + 0.5 \cdot 8 = x - 4$

Step 1.4

Multiply $0.5 (2 x)$ .

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Step 1.4.1

Multiply $2$ by $0.5$ .

$1 x + 0.5 \cdot 8 = x - 4$

Step 1.4.2

Multiply $x$ by $1$ .

$x + 0.5 \cdot 8 = x - 4$

$x + 0.5 \cdot 8 = x - 4$

Step 1.5

Multiply $0.5$ by $8$ .

$x + 4 = x - 4$

$x + 4 = x - 4$

Step 2

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

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Step 2.1

Subtract $x$ from both sides of the equation.

$x + 4 - x = - 4$

Step 2.2

Combine the opposite terms in $x + 4 - x$ .

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Step 2.2.1

Subtract $x$ from $x$ .

$0 + 4 = - 4$

Step 2.2.2

Add $0$ and $4$ .

$4 = - 4$

$4 = - 4$

$4 = - 4$

Step 3

Since $4 \neq - 4$ , there are no solutions.

No solution

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$