Finite Math Examples

$2 (4 x + 3) = 13 x + 4 - 5 x + 2$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $13 x$ from both sides of the equation.

$2 (4 x + 3) - 13 x = 4 - 5 x + 2$

Step 1.2

Subtract $4$ from both sides of the equation.

$2 (4 x + 3) - 13 x - 4 = - 5 x + 2$

Step 1.3

Add $5 x$ to both sides of the equation.

$2 (4 x + 3) - 13 x - 4 + 5 x = 2$

Step 1.4

Subtract $2$ from both sides of the equation.

$2 (4 x + 3) - 13 x - 4 + 5 x - 2 = 0$

Step 2

Simplify $2 (4 x + 3) - 13 x - 4 + 5 x - 2$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$2 (4 x) + 2 \cdot 3 - 13 x - 4 + 5 x - 2 = 0$

Step 2.1.2

Multiply $4$ by $2$ .

$8 x + 2 \cdot 3 - 13 x - 4 + 5 x - 2 = 0$

Step 2.1.3

Multiply $2$ by $3$ .

$8 x + 6 - 13 x - 4 + 5 x - 2 = 0$

Step 2.2

Subtract $13 x$ from $8 x$ .

$- 5 x + 6 - 4 + 5 x - 2 = 0$

Step 2.3

Combine the opposite terms in $- 5 x + 6 - 4 + 5 x - 2$ .

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Step 2.3.1

Add $- 5 x$ and $5 x$ .

$0 + 6 - 4 - 2 = 0$

Step 2.3.2

Add $0$ and $6$ .

$6 - 4 - 2 = 0$

Step 2.4

Subtract $4$ from $6$ .

$2 - 2 = 0$

Step 2.5

Subtract $2$ from $2$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true