7x-6=28x-42

Solution for 7x-6=28x-42 equation:

Simplifying
7x + -6 = 28x + -42

Reorder the terms:
-6 + 7x = 28x + -42

Reorder the terms:
-6 + 7x = -42 + 28x

Solving
-6 + 7x = -42 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-6 + 7x + -28x = -42 + 28x + -28x

Combine like terms: 7x + -28x = -21x
-6 + -21x = -42 + 28x + -28x

Combine like terms: 28x + -28x = 0
-6 + -21x = -42 + 0
-6 + -21x = -42

Add '6' to each side of the equation.
-6 + 6 + -21x = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -21x = -42 + 6
-21x = -42 + 6

Combine like terms: -42 + 6 = -36
-21x = -36

Divide each side by '-21'.
x = 1.714285714

Simplifying
x = 1.714285714