6-2х+(-х+12)=4-(1-х)

To solve this equation, we need to simplify both sides and isolate the variable \( x \).

Given equation: \( 6 - 2x + (-x + 12) = 4 - (1 - x) \)

Simplify both sides:

\( 6 - 2x - x + 12 = 4 - 1 + x \)

\( 18 - 3x = 3 + x \)

Now, let's isolate \( x \):

Add \( 3x \) to both sides:

\( 18 = 3 + 4x \)

Subtract \( 3 \) from both sides:

\( 15 = 4x \)

Divide by \( 4 \) on both sides to solve for \( x \):

\( x = \frac{15}{4} \)

Therefore, the solution to the equation is \( x = \frac{15}{4} \) or \( x = 3.75 \).