Algebra Examples

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

Step 1

Add $3 x$ and $x$ .

$4 x - 4 = 4 (x - 1)$

Step 2

Simplify $4 (x - 1)$ .

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $4$ by $- 1$ .

$4 x - 4 = 4 x - 4$

Step 3

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

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Step 3.1

Subtract $4 x$ from both sides of the equation.

$4 x - 4 - 4 x = - 4$

Step 3.2

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

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Step 3.2.1

Subtract $4 x$ from $4 x$ .

$0 - 4 = - 4$

Step 3.2.2

Subtract $4$ from $0$ .

$- 4 = - 4$

Step 4

Since $- 4 = - 4$ , the equation will always be true for any value of $x$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$