Answer:
x=10
Explanation:
Simplifying 3x + 8(2x + -6) = 2 + 14x
Reorder the terms: 3x + 8(-6 + 2x) = 2 + 14x 3x + (-6 * 8 + 2x * 8) = 2 + 14x 3x + (-48 + 16x) = 2 + 14x
Reorder the terms: -48 + 3x + 16x = 2 + 14x
Combine like terms: 3x + 16x = 19x -48 + 19x = 2 + 14x
Solving -48 + 19x = 2 + 14x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x' to each side of the equation. -48 + 19x + -14x = 2 + 14x + -14x Combine like terms: 19x + -14x = 5x -48 + 5x = 2 + 14x + -14x
Combine like terms: 14x + -14x = 0 -48 + 5x = 2 + 0 -48 + 5x = 2
Add '48' to each side of the equation. -48 + 48 + 5x = 2 + 48
Combine like terms: -48 + 48 = 0 0 + 5x = 2 + 48 5x = 2 + 48
Combine like terms: 2 + 48 = 50 5x = 50
Divide each side by '5'. x = 10
Simplifying x = 10