Answer:
x = 7
Step-by-step explanation:
Simplifying
11x + 13 = 12x + 6
Reorder the terms:
13 + 11x = 12x + 6
Reorder the terms:
13 + 11x = 6 + 12x
Solving
13 + 11x = 6 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
13 + 11x + -12x = 6 + 12x + -12x
Combine like terms: 11x + -12x = -1x
13 + -1x = 6 + 12x + -12x
Combine like terms: 12x + -12x = 0
13 + -1x = 6 + 0
13 + -1x = 6
Add '-13' to each side of the equation.
13 + -13 + -1x = 6 + -13
Combine like terms: 13 + -13 = 0
0 + -1x = 6 + -13
-1x = 6 + -13
Combine like terms: 6 + -13 = -7
-1x = -7
Divide each side by '-1'.
x = 7
Simplifying
x = 7