Solve Linear Equation: 6x·2-4+2x+2=5 Step by Step

To solve the linear equation $6x \cdot 2 - 4 + 2x + 2 = 5$, follow these steps:

• Step 1: Simplify the expression on the left-hand side of the equation.
• Step 2: Combine like terms to reduce the equation.
• Step 3: Isolate the variable $x$ to determine its value.

Let's simplify and solve the given equation:

Step 1: Simplify the expression $6x \cdot 2 - 4 + 2x + 2$.
This becomes $12x - 4 + 2x + 2$.

Step 2: Combine like terms.
Combine the terms involving $x$: $12x + 2x = 14x$.
Combine the constants: $-4 + 2 = -2$.
This results in the equation $14x - 2 = 5$.

Step 3: Isolate $x$.
Add 2 to both sides to eliminate the constant on the left:
$14x - 2 + 2 = 5 + 2$.
This simplifies to $14x = 7$.
Next, divide both sides by 14 to solve for $x$:
$x = \frac{7}{14}$.

Simplify the fraction:$x = \frac{1}{2}$.

Therefore, the solution to the equation is $x = \frac{1}{2}$.