4x-6=40x+3

Solution for 4x-6=40x+3 equation:

Simplifying
4x + -6 = 40x + 3

Reorder the terms:
-6 + 4x = 40x + 3

Reorder the terms:
-6 + 4x = 3 + 40x

Solving
-6 + 4x = 3 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-6 + 4x + -40x = 3 + 40x + -40x

Combine like terms: 4x + -40x = -36x
-6 + -36x = 3 + 40x + -40x

Combine like terms: 40x + -40x = 0
-6 + -36x = 3 + 0
-6 + -36x = 3

Add '6' to each side of the equation.
-6 + 6 + -36x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -36x = 3 + 6
-36x = 3 + 6

Combine like terms: 3 + 6 = 9
-36x = 9

Divide each side by '-36'.
x = -0.25

Simplifying
x = -0.25