2[b-(4b-5)]=a-7

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Solution for 2[b-(4b-5)]=a-7 equation: 


Simplifying
2[b + -1(4b + -5)] = a + -7

Reorder the terms:
2[b + -1(-5 + 4b)] = a + -7
2[b + (-5 * -1 + 4b * -1)] = a + -7
2[b + (5 + -4b)] = a + -7

Reorder the terms:
2[5 + b + -4b] = a + -7

Combine like terms: b + -4b = -3b
2[5 + -3b] = a + -7
[5 * 2 + -3b * 2] = a + -7
[10 + -6b] = a + -7

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

Solving
10 + -6b = -7 + a

Solving for variable 'b'.

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

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

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

Combine like terms: -7 + -10 = -17
-6b = -17 + a

Divide each side by '-6'.
b = 2.833333333 + -0.1666666667a

Simplifying
b = 2.833333333 + -0.1666666667a

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