5o+6=7(2o-3)

Solution for 5o+6=7(2o-3) equation:

Simplifying
5o + 6 = 7(2o + -3)

Reorder the terms:
6 + 5o = 7(2o + -3)

Reorder the terms:
6 + 5o = 7(-3 + 2o)
6 + 5o = (-3 * 7 + 2o * 7)
6 + 5o = (-21 + 14o)

Solving
6 + 5o = -21 + 14o

Solving for variable 'o'.

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

Add '-14o' to each side of the equation.
6 + 5o + -14o = -21 + 14o + -14o

Combine like terms: 5o + -14o = -9o
6 + -9o = -21 + 14o + -14o

Combine like terms: 14o + -14o = 0
6 + -9o = -21 + 0
6 + -9o = -21

Add '-6' to each side of the equation.
6 + -6 + -9o = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -9o = -21 + -6
-9o = -21 + -6

Combine like terms: -21 + -6 = -27
-9o = -27

Divide each side by '-9'.
o = 3

Simplifying
o = 3