6(3x-7)=x+162

Solution for 6(3x-7)=x+162 equation:

Simplifying
6(3x + -7) = x + 162

Reorder the terms:
6(-7 + 3x) = x + 162
(-7 * 6 + 3x * 6) = x + 162
(-42 + 18x) = x + 162

Reorder the terms:
-42 + 18x = 162 + x

Solving
-42 + 18x = 162 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-42 + 18x + -1x = 162 + x + -1x

Combine like terms: 18x + -1x = 17x
-42 + 17x = 162 + x + -1x

Combine like terms: x + -1x = 0
-42 + 17x = 162 + 0
-42 + 17x = 162

Add '42' to each side of the equation.
-42 + 42 + 17x = 162 + 42

Combine like terms: -42 + 42 = 0
0 + 17x = 162 + 42
17x = 162 + 42

Combine like terms: 162 + 42 = 204
17x = 204

Divide each side by '17'.
x = 12

Simplifying
x = 12