4x+6=7x+42

Solution for 4x+6=7x+42 equation:

Simplifying
4x + 6 = 7x + 42

Reorder the terms:
6 + 4x = 7x + 42

Reorder the terms:
6 + 4x = 42 + 7x

Solving
6 + 4x = 42 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 4x + -7x = 42 + 7x + -7x

Combine like terms: 4x + -7x = -3x
6 + -3x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -3x = 42 + 0
6 + -3x = 42

Add '-6' to each side of the equation.
6 + -6 + -3x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 42 + -6
-3x = 42 + -6

Combine like terms: 42 + -6 = 36
-3x = 36

Divide each side by '-3'.
x = -12

Simplifying
x = -12