Algebra Examples

$(x + 3) \cdot 2 = 49$

Step 1

Move all terms to the left side of the equation and simplify.

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Step 1.1

Simplify the left side.

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Step 1.1.1

Simplify $(x + 3) \cdot 2$ .

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Step 1.1.1.1

Apply the distributive property.

$x \cdot 2 + 3 \cdot 2 = 49$

Step 1.1.1.2

Simplify the expression.

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Step 1.1.1.2.1

Move $2$ to the left of $x$ .

$2 \cdot x + 3 \cdot 2 = 49$

Step 1.1.1.2.2

Multiply $3$ by $2$ .

$2 x + 6 = 49$

Step 1.2

Subtract $49$ from both sides of the equation.

$2 x + 6 - 49 = 0$

Step 1.3

Subtract $49$ from $6$ .

$2 x - 43 = 0$

Step 2

Add $43$ to both sides of the equation.

$2 x = 43$

Step 3

Divide each term in $2 x = 43$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = 43$ by $2$ .

$\frac{2 x}{2} = \frac{43}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{43}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{43}{2}$