Question

2x-4=5x-9
$solve \: equation$

Answer 1

2x - 4 = 5x - 9

=> 2x - 5x = - 9 + 4

=> -3x = - 5

=> x = - 5 / - 3

=> x = 5/3

Answer 2

Simplifying 2x + -4 = 5x + -9 Reorder the terms: -4 + 2x = 5x + -9 Reorder the terms: -4 + 2x = -9 + 5x Solving -4 + 2x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x -4 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -3x = -9 + 0 -4 + -3x = -9 Add '4' to each side of the equation. -4 + 4 + -3x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -9 + 4 -3x = -9 + 4 Combine like terms: -9 + 4 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667