Pre-Algebra Examples

$- 15 x = - 5 (3 x + 7)$

Step 1

Simplify $- 5 (3 x + 7)$ .

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Step 1.1

Apply the distributive property.

$- 15 x = - 5 (3 x) - 5 \cdot 7$

Step 1.2

Multiply.

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Step 1.2.1

Multiply $3$ by $- 5$ .

$- 15 x = - 15 x - 5 \cdot 7$

Step 1.2.2

Multiply $- 5$ by $7$ .

$- 15 x = - 15 x - 35$

Step 2

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

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Step 2.1

Add $15 x$ to both sides of the equation.

$- 15 x + 15 x = - 35$

Step 2.2

Add $- 15 x$ and $15 x$ .

$0 = - 35$

Step 3

Since $0 \neq - 35$ , there are no solutions.

No solution