d, x=8
step-by-step explanation:
simplifying
4x + -5 = 2x + 11
reorder the terms:
-5 + 4x = 2x + 11
reorder the terms:
-5 + 4x = 11 + 2x
solving
-5 + 4x = 11 + 2x
solving for variable 'x'.
move all terms containing x to the left, all other terms to the right.
add '-2x' to each side of the equation.
-5 + 4x + -2x = 11 + 2x + -2x
combine like terms: 4x + -2x = 2x
-5 + 2x = 11 + 2x + -2x
combine like terms: 2x + -2x = 0
-5 + 2x = 11 + 0
-5 + 2x = 11
add '5' to each side of the equation.
-5 + 5 + 2x = 11 + 5
combine like terms: -5 + 5 = 0
0 + 2x = 11 + 5
2x = 11 + 5
combine like terms: 11 + 5 = 16
2x = 16
divide each side by '2'.