Pre-Algebra Examples

$7 x + 13 x - 7 = 4 (5 x + 2)$

Step 1

Add $7 x$ and $13 x$ .

$20 x - 7 = 4 (5 x + 2)$

Step 2

Simplify $4 (5 x + 2)$ .

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Step 2.1

Apply the distributive property.

$20 x - 7 = 4 (5 x) + 4 \cdot 2$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $5$ by $4$ .

$20 x - 7 = 20 x + 4 \cdot 2$

Step 2.2.2

Multiply $4$ by $2$ .

$20 x - 7 = 20 x + 8$

Step 3

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

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Step 3.1

Subtract $20 x$ from both sides of the equation.

$20 x - 7 - 20 x = 8$

Step 3.2

Combine the opposite terms in $20 x - 7 - 20 x$ .

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Step 3.2.1

Subtract $20 x$ from $20 x$ .

$0 - 7 = 8$

Step 3.2.2

Subtract $7$ from $0$ .

$- 7 = 8$

Step 4

Since $- 7 \neq 8$ , there are no solutions.

No solution