Answer:
x=4
Explanation:
Simplifying
2(6x + 4) + -6 + 2x = 3(4x + 3) + 1
Reorder the terms:
2(4 + 6x) + -6 + 2x = 3(4x + 3) + 1
(4 * 2 + 6x * 2) + -6 + 2x = 3(4x + 3) + 1
(8 + 12x) + -6 + 2x = 3(4x + 3) + 1
Reorder the terms:
8 + -6 + 12x + 2x = 3(4x + 3) + 1
Combine like terms: 8 + -6 = 2
2 + 12x + 2x = 3(4x + 3) + 1
Combine like terms: 12x + 2x = 14x
2 + 14x = 3(4x + 3) + 1
Reorder the terms:
2 + 14x = 3(3 + 4x) + 1
2 + 14x = (3 * 3 + 4x * 3) + 1
2 + 14x = (9 + 12x) + 1
Reorder the terms:
2 + 14x = 9 + 1 + 12x
Combine like terms: 9 + 1 = 10
2 + 14x = 10 + 12x
Solving
2 + 14x = 10 + 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.
2 + 14x + -12x = 10 + 12x + -12x
Combine like terms: 14x + -12x = 2x
2 + 2x = 10 + 12x + -12x
Combine like terms: 12x + -12x = 0
2 + 2x = 10 + 0
2 + 2x = 10
Add '-2' to each side of the equation.
2 + -2 + 2x = 10 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = 10 + -2
2x = 10 + -2
Combine like terms: 10 + -2 = 8
2x = 8
Divide each side by '2'.
x = 4
Simplifying
x = 4
Hope it helps!