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

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Algebra

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

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

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Simplify each term.

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Apply the distributive property.

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

Multiply $3$ by $4$ .

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

Multiply $4$ by $7$ .

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

Subtract $5$ from $28$ .

$12 x + 23 = 12 x + 8$

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

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

$12 x + 23 - 12 x = 8$

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

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Subtract $12 x$ from $12 x$ .

$0 + 23 = 8$

Add $0$ and $23$ .

$23 = 8$

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

No solution

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