4b-6=7b+10

Solution for 4b-6=7b+10 equation:

Simplifying
4b + -6 = 7b + 10

Reorder the terms:
-6 + 4b = 7b + 10

Reorder the terms:
-6 + 4b = 10 + 7b

Solving
-6 + 4b = 10 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
-6 + 4b + -7b = 10 + 7b + -7b

Combine like terms: 4b + -7b = -3b
-6 + -3b = 10 + 7b + -7b

Combine like terms: 7b + -7b = 0
-6 + -3b = 10 + 0
-6 + -3b = 10

Add '6' to each side of the equation.
-6 + 6 + -3b = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -3b = 10 + 6
-3b = 10 + 6

Combine like terms: 10 + 6 = 16
-3b = 16

Divide each side by '-3'.
b = -5.333333333

Simplifying
b = -5.333333333