Algebra Examples

$4 (3 x + 7) - 5 = 12 x + 8$

Step 1

Simplify $4 (3 x + 7) - 5$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 (3 x) + 4 \cdot 7 - 5 = 12 x + 8$

Step 1.1.2

Multiply $3$ by $4$ .

$12 x + 4 \cdot 7 - 5 = 12 x + 8$

Step 1.1.3

Multiply $4$ by $7$ .

$12 x + 28 - 5 = 12 x + 8$

Step 1.2

Subtract $5$ from $28$ .

$12 x + 23 = 12 x + 8$

Step 2

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

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Step 2.1

Subtract $12 x$ from both sides of the equation.

$12 x + 23 - 12 x = 8$

Step 2.2

Combine the opposite terms in $12 x + 23 - 12 x$ .

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Step 2.2.1

Subtract $12 x$ from $12 x$ .

$0 + 23 = 8$

Step 2.2.2

Add $0$ and $23$ .

$23 = 8$

Step 3

Since $23 \neq 8$ , there are no solutions.

No solution