3(x-2)+2b=5x-7-2x

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Solution for 3(x-2)+2b=5x-7-2x equation: 


Simplifying
3(x + -2) + 2b = 5x + -7 + -2x

Reorder the terms:
3(-2 + x) + 2b = 5x + -7 + -2x
(-2 * 3 + x * 3) + 2b = 5x + -7 + -2x
(-6 + 3x) + 2b = 5x + -7 + -2x

Reorder the terms:
-6 + 2b + 3x = 5x + -7 + -2x

Reorder the terms:
-6 + 2b + 3x = -7 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-6 + 2b + 3x = -7 + 3x

Add '-3x' to each side of the equation.
-6 + 2b + 3x + -3x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 2b + 0 = -7 + 3x + -3x
-6 + 2b = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 2b = -7 + 0
-6 + 2b = -7

Solving
-6 + 2b = -7

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 2b = -7 + 6

Combine like terms: -6 + 6 = 0
0 + 2b = -7 + 6
2b = -7 + 6

Combine like terms: -7 + 6 = -1
2b = -1

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5

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