Answer
$x=3$
Work Step by Step
$4x+14=6x+8$
Step 1: is not needed since there are no fractions.
Step 2: is not needed since there are no parentheses.
Step 3: is not needed.
Step 4: the equation is linear.
Step 5:
$4x+14-14=6x+8-14$ (Add -14 to both sides)
$4x-6x=6x-6-6x$ (Add -6x to both sides)
$-2x=-6$
Step 6: $\frac{-2x}{-2}=\frac{-6}{-2}$ Divide both sides by -2.
$x=3$
Final Step: check:
$4\times3+14=6\times3+8=26$