Answer:
Simplifying
7x + -2(x + 1) = 6x + 14
Reorder the terms:
7x + -2(1 + x) = 6x + 14
7x + (1 * -2 + x * -2) = 6x + 14
7x + (-2 + -2x) = 6x + 14
Reorder the terms:
-2 + 7x + -2x = 6x + 14
Combine like terms: 7x + -2x = 5x
-2 + 5x = 6x + 14
Reorder the terms:
-2 + 5x = 14 + 6x
Solving
-2 + 5x = 14 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-2 + 5x + -6x = 14 + 6x + -6x
Combine like terms: 5x + -6x = -1x
-2 + -1x = 14 + 6x + -6x
Combine like terms: 6x + -6x = 0
-2 + -1x = 14 + 0
-2 + -1x = 14
Add '2' to each side of the equation.
-2 + 2 + -1x = 14 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 14 + 2
-1x = 14 + 2
Combine like terms: 14 + 2 = 16
-1x = 16
Divide each side by '-1'.
x = -16
Simplifying
x = -16
Step-by-step explanation:
