4(x-4)+2b=5x+a

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Solution for 4(x-4)+2b=5x+a equation:


Simplifying
4(x + -4) + 2b = 5x + a

Reorder the terms:
4(-4 + x) + 2b = 5x + a
(-4 * 4 + x * 4) + 2b = 5x + a
(-16 + 4x) + 2b = 5x + a

Reorder the terms:
-16 + 2b + 4x = 5x + a

Reorder the terms:
-16 + 2b + 4x = a + 5x

Solving
-16 + 2b + 4x = a + 5x

Solving for variable 'b'.

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

Add '16' to each side of the equation.
-16 + 2b + 16 + 4x = a + 16 + 5x

Reorder the terms:
-16 + 16 + 2b + 4x = a + 16 + 5x

Combine like terms: -16 + 16 = 0
0 + 2b + 4x = a + 16 + 5x
2b + 4x = a + 16 + 5x

Reorder the terms:
2b + 4x = 16 + a + 5x

Add '-4x' to each side of the equation.
2b + 4x + -4x = 16 + a + 5x + -4x

Combine like terms: 4x + -4x = 0
2b + 0 = 16 + a + 5x + -4x
2b = 16 + a + 5x + -4x

Combine like terms: 5x + -4x = 1x
2b = 16 + a + 1x

Divide each side by '2'.
b = 8 + 0.5a + 0.5x

Simplifying
b = 8 + 0.5a + 0.5x

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