Pre-Algebra Examples

$3 (- x + 50) = (- 3 x) + 150$

Step 1

Simplify $3 (- x + 50)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (- x + 50) = - 3 x + 150$

Step 1.2

Simplify by adding zeros.

$3 (- x + 50) = - 3 x + 150$

Step 1.3

Apply the distributive property.

$3 (- x) + 3 \cdot 50 = - 3 x + 150$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 1$ by $3$ .

$- 3 x + 3 \cdot 50 = - 3 x + 150$

Step 1.4.2

Multiply $3$ by $50$ .

$- 3 x + 150 = - 3 x + 150$

Step 2

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

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Step 2.1

Add $3 x$ to both sides of the equation.

$- 3 x + 150 + 3 x = 150$

Step 2.2

Combine the opposite terms in $- 3 x + 150 + 3 x$ .

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Step 2.2.1

Add $- 3 x$ and $3 x$ .

$0 + 150 = 150$

Step 2.2.2

Add $0$ and $150$ .

$150 = 150$

Step 3

Since $150 = 150$ , the equation will always be true for any value of $x$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$