Basic Math Examples

$2 (s + 2) - 2 = 7 (s + 1) - 5 s$

Step 1

Since $s$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7 (s + 1) - 5 s = 2 (s + 2) - 2$

Step 2

Simplify $7 (s + 1) - 5 s$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$7 s + 7 \cdot 1 - 5 s = 2 (s + 2) - 2$

Step 2.1.2

Multiply $7$ by $1$ .

$7 s + 7 - 5 s = 2 (s + 2) - 2$

Step 2.2

Subtract $5 s$ from $7 s$ .

$2 s + 7 = 2 (s + 2) - 2$

Step 3

Simplify $2 (s + 2) - 2$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Apply the distributive property.

$2 s + 7 = 2 s + 2 \cdot 2 - 2$

Step 3.1.2

Multiply $2$ by $2$ .

$2 s + 7 = 2 s + 4 - 2$

Step 3.2

Subtract $2$ from $4$ .

$2 s + 7 = 2 s + 2$

Step 4

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

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Step 4.1

Subtract $2 s$ from both sides of the equation.

$2 s + 7 - 2 s = 2$

Step 4.2

Combine the opposite terms in $2 s + 7 - 2 s$ .

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Step 4.2.1

Subtract $2 s$ from $2 s$ .

$0 + 7 = 2$

Step 4.2.2

Add $0$ and $7$ .

$7 = 2$

Step 5

Since $7 \neq 2$ , there are no solutions.

No solution