2b+4=7b-6

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Solution for 2b+4=7b-6 equation:


Simplifying
2b + 4 = 7b + -6

Reorder the terms:
4 + 2b = 7b + -6

Reorder the terms:
4 + 2b = -6 + 7b

Solving
4 + 2b = -6 + 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.
4 + 2b + -7b = -6 + 7b + -7b

Combine like terms: 2b + -7b = -5b
4 + -5b = -6 + 7b + -7b

Combine like terms: 7b + -7b = 0
4 + -5b = -6 + 0
4 + -5b = -6

Add '-4' to each side of the equation.
4 + -4 + -5b = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -5b = -6 + -4
-5b = -6 + -4

Combine like terms: -6 + -4 = -10
-5b = -10

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

Simplifying
b = 2

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