5x-6=7x-16

Solution for 5x-6=7x-16 equation:

Simplifying
5x + -6 = 7x + -16

Reorder the terms:
-6 + 5x = 7x + -16

Reorder the terms:
-6 + 5x = -16 + 7x

Solving
-6 + 5x = -16 + 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 + 5x + -7x = -16 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-6 + -2x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -2x = -16 + 0
-6 + -2x = -16

Add '6' to each side of the equation.
-6 + 6 + -2x = -16 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -16 + 6
-2x = -16 + 6

Combine like terms: -16 + 6 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5