Pre-Algebra Examples

$4 (x + 2) = 3 (x - 5) + x$

Step 1

Simplify $4 (x + 2)$ .

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Step 1.1

Apply the distributive property.

$4 x + 4 \cdot 2 = 3 (x - 5) + x$

Step 1.2

Multiply $4$ by $2$ .

$4 x + 8 = 3 (x - 5) + x$

Step 2

Simplify $3 (x - 5) + x$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 x + 8 = 3 x + 3 \cdot - 5 + x$

Step 2.1.2

Multiply $3$ by $- 5$ .

$4 x + 8 = 3 x - 15 + x$

Step 2.2

Add $3 x$ and $x$ .

$4 x + 8 = 4 x - 15$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

Step 4