Pre-Algebra Examples

$4 (2 x + 1) = 5 x + 3 x + 9$

Step 1

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

$5 x + 3 x + 9 = 4 (2 x + 1)$

Step 2

Add $5 x$ and $3 x$ .

$8 x + 9 = 4 (2 x + 1)$

Step 3

Simplify $4 (2 x + 1)$ .

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Step 3.1

Apply the distributive property.

$8 x + 9 = 4 (2 x) + 4 \cdot 1$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $2$ by $4$ .

$8 x + 9 = 8 x + 4 \cdot 1$

Step 3.2.2

Multiply $4$ by $1$ .

$8 x + 9 = 8 x + 4$

Step 4

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

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Step 4.1

Subtract $8 x$ from both sides of the equation.

$8 x + 9 - 8 x = 4$

Step 4.2

Combine the opposite terms in $8 x + 9 - 8 x$ .

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Step 4.2.1

Subtract $8 x$ from $8 x$ .

$0 + 9 = 4$

Step 4.2.2

Add $0$ and $9$ .

$9 = 4$

Step 5

Since $9 \neq 4$ , there are no solutions.

No solution