17+2b-4c=4[a-7]-3

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Solution for 17+2b-4c=4[a-7]-3 equation:


Simplifying
17 + 2b + -4c = 4[a + -7] + -3

Reorder the terms:
17 + 2b + -4c = 4[-7 + a] + -3
17 + 2b + -4c = [-7 * 4 + a * 4] + -3
17 + 2b + -4c = [-28 + 4a] + -3

Reorder the terms:
17 + 2b + -4c = -28 + -3 + 4a

Combine like terms: -28 + -3 = -31
17 + 2b + -4c = -31 + 4a

Solving
17 + 2b + -4c = -31 + 4a

Solving for variable 'b'.

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

Add '-17' to each side of the equation.
17 + 2b + -17 + -4c = -31 + -17 + 4a

Reorder the terms:
17 + -17 + 2b + -4c = -31 + -17 + 4a

Combine like terms: 17 + -17 = 0
0 + 2b + -4c = -31 + -17 + 4a
2b + -4c = -31 + -17 + 4a

Combine like terms: -31 + -17 = -48
2b + -4c = -48 + 4a

Add '4c' to each side of the equation.
2b + -4c + 4c = -48 + 4a + 4c

Combine like terms: -4c + 4c = 0
2b + 0 = -48 + 4a + 4c
2b = -48 + 4a + 4c

Divide each side by '2'.
b = -24 + 2a + 2c

Simplifying
b = -24 + 2a + 2c

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