Basic Math Examples

$10 - 7 b = 4 - 5 (2 b + 9) + 3 b$

Step 1

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

$4 - 5 (2 b + 9) + 3 b = 10 - 7 b$

Step 2

Simplify $4 - 5 (2 b + 9) + 3 b$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 - 5 (2 b) - 5 \cdot 9 + 3 b = 10 - 7 b$

Step 2.1.2

Multiply $2$ by $- 5$ .

$4 - 10 b - 5 \cdot 9 + 3 b = 10 - 7 b$

Step 2.1.3

Multiply $- 5$ by $9$ .

$4 - 10 b - 45 + 3 b = 10 - 7 b$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Subtract $45$ from $4$ .

$- 10 b - 41 + 3 b = 10 - 7 b$

Step 2.2.2

Add $- 10 b$ and $3 b$ .

$- 7 b - 41 = 10 - 7 b$

Step 3

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

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Step 3.1

Add $7 b$ to both sides of the equation.

$- 7 b - 41 + 7 b = 10$

Step 3.2

Combine the opposite terms in $- 7 b - 41 + 7 b$ .

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Step 3.2.1

Add $- 7 b$ and $7 b$ .

$0 - 41 = 10$

Step 3.2.2

Subtract $41$ from $0$ .

$- 41 = 10$

Step 4

Since $- 41 \neq 10$ , there are no solutions.

No solution