Solve Linear Equation: 5+4x-2·3+2x·3=9 Step by Step

To solve this problem, we'll proceed with these steps:

• Simplify the equation by performing arithmetic operations.
• Combine like terms.
• Solve the resulting equation for the variable $x$.

Now, let's work through these steps:

Simplify the equation given by performing the multiplication and subtraction:

$5 + 4x - 2 \cdot 3 + 2x \cdot 3 = 9$
$5 + 4x - 6 + 6x = 9$

Combine like terms on the left side:

$(5 - 6) + 4x + 6x = 9$
$-1 + 10x = 9$

To isolate $10x$, add 1 to both sides of the equation:

$10x = 9 + 1$
$10x = 10$

Divide both sides by 10 to solve for $x$:

$x = \frac{10}{10}$
$x = 1$

Therefore, the solution to the equation is $x = 1$.

Comparing this with the provided answer choices, we see that the correct choice is:

$x=1$