9x+1=10x-4

Solution for 9x+1=10x-4 equation:

Simplifying
9x + 1 = 10x + -4

Reorder the terms:
1 + 9x = 10x + -4

Reorder the terms:
1 + 9x = -4 + 10x

Solving
1 + 9x = -4 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
1 + 9x + -10x = -4 + 10x + -10x

Combine like terms: 9x + -10x = -1x
1 + -1x = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -1x = -4 + 0
1 + -1x = -4

Add '-1' to each side of the equation.
1 + -1 + -1x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -4 + -1
-1x = -4 + -1

Combine like terms: -4 + -1 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5