3b+4-2=7b-10

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Solution for 3b+4-2=7b-10 equation:


Simplifying
3b + 4 + -2 = 7b + -10

Reorder the terms:
4 + -2 + 3b = 7b + -10

Combine like terms: 4 + -2 = 2
2 + 3b = 7b + -10

Reorder the terms:
2 + 3b = -10 + 7b

Solving
2 + 3b = -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.
2 + 3b + -7b = -10 + 7b + -7b

Combine like terms: 3b + -7b = -4b
2 + -4b = -10 + 7b + -7b

Combine like terms: 7b + -7b = 0
2 + -4b = -10 + 0
2 + -4b = -10

Add '-2' to each side of the equation.
2 + -2 + -4b = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -4b = -10 + -2
-4b = -10 + -2

Combine like terms: -10 + -2 = -12
-4b = -12

Divide each side by '-4'.
b = 3

Simplifying
b = 3

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