Solve the Linear Equation: 5x-4·3+4x+3x=0

To solve this linear equation $5x - 4 \cdot 3 + 4x + 3x = 0$, follow these steps:

• Simplify the expression: First, calculate the product $4 \cdot 3$. This equals $12$.

• Substitute back into the equation: $5x - 12 + 4x + 3x = 0$.

• Combine like terms:

  • The terms involving $x$ are $5x$, $4x$, and $3x$. Add these together: $5x + 4x + 3x = 12x$.

• The equation now simplifies to $12x - 12 = 0$.

• Isolate $x$: Add $12$ to both sides of the equation to eliminate the constant term on the left:

  • $12x - 12 + 12 = 0 + 12$, which simplifies to $12x = 12$.

• Solve for $x$: Divide both sides by $12$ to solve for $x$:

  • $x = \frac{12}{12} = 1$.

The solution to the equation is $x = 1$.

Verify with the given choices, we find that the correct answer is: $x = 1$.