Solve the Linear Equation: 2x⋅4-1+x+2=19 Step-by-Step

To solve the problem, we'll follow these steps:

• Step 1: Eliminate multiplication by distributing $2x \cdot 4$.
• Step 2: Combine like terms on the left side of the equation.
• Step 3: Isolate the variable $x$ by moving constants to the opposite side.

Let's work through these steps:

Step 1: The given equation is $2x \cdot 4 - 1 + x + 2 = 19$.
Distribute the multiplication on $2x \cdot 4$ to get $8x$:

$8x - 1 + x + 2 = 19$

Step 2: Combine the like terms ($8x$ and $x$):

$9x - 1 + 2 = 19$

Simplify further by combining constants $-1 + 2$ to get:

$9x + 1 = 19$

Step 3: Isolate $x$ by subtracting 1 from both sides:

$9x = 18$

Finally, divide both sides by 9 to solve for $x$:

$x = \frac{18}{9} = 2$

Therefore, the solution to the problem is $x = 2$.