Solve the Linear Equation: 3-(x-4)+8x=14 Step by Step

To solve the equation $3 - (x - 4) + 8x = 14$, we will simplify and solve for $x$ step-by-step:

• Step 1: Distribute the negative sign inside the parentheses:
  $- (x - 4) = -x + 4$.

• Step 2: Rewrite the equation with the distributed terms:
  $3 + (-x + 4) + 8x = 14$.

• Step 3: Simplify by combining like terms:
  Combine the constants: $3 + 4 = 7$
  Combine the $x$ terms: $-x + 8x = 7x$.
  This gives us $7 + 7x = 14$.

• Step 4: Isolate the $x$ term:
  Subtract 7 from both sides: $7x = 14 - 7$.
  This simplifies to $7x = 7$.

• Step 5: Solve for $x$ by dividing both sides by 7:
  $x = \frac{7}{7}$.
  Simplifying gives $x = 1$.

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