6(x-7)=9x

Solution for 6(x-7)=9x equation:

Simplifying
6(x + -7) = 9x

Reorder the terms:
6(-7 + x) = 9x
(-7 * 6 + x * 6) = 9x
(-42 + 6x) = 9x

Solving
-42 + 6x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-42 + 6x + -9x = 9x + -9x

Combine like terms: 6x + -9x = -3x
-42 + -3x = 9x + -9x

Combine like terms: 9x + -9x = 0
-42 + -3x = 0

Add '42' to each side of the equation.
-42 + 42 + -3x = 0 + 42

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

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

Divide each side by '-3'.
x = -14

Simplifying
x = -14