explanation;
Solution for 2x+1=5x-5 equation
Simplifying
2x + 1 = 5x + -5
Reorder the terms:
1 + 2x = 5x + -5
Reorder the terms:
1 + 2x = -5 + 5x
Solving
1 + 2x = -5 + 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.
1 + 2x + -5x = -5 + 5x + -5x
Combine like terms: 2x + -5x = -3x
1 + -3x = -5 + 5x + -5x
Combine like terms: 5x + -5x = 0
1 + -3x = -5 + 0
1 + -3x = -5
Add '-1' to each side of the equation.
1 + -1 + -3x = -5 + -1
Combine like terms: 1 + -1 = 0
0 + -3x = -5 + -1
-3x = -5 + -1
Combine like terms: -5 + -1 = -6
-3x = -6
Divide each side by '-3'.
x = 2
Simplifying
x = 2
