4x+b+2ax+2b=20x+35

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Solution for 4x+b+2ax+2b=20x+35 equation:


Simplifying
4x + b + 2ax + 2b = 20x + 35

Reorder the terms:
2ax + b + 2b + 4x = 20x + 35

Combine like terms: b + 2b = 3b
2ax + 3b + 4x = 20x + 35

Reorder the terms:
2ax + 3b + 4x = 35 + 20x

Solving
2ax + 3b + 4x = 35 + 20x

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
2ax + 3b + -3b + 4x = 35 + -3b + 20x

Combine like terms: 3b + -3b = 0
2ax + 0 + 4x = 35 + -3b + 20x
2ax + 4x = 35 + -3b + 20x

Add '-4x' to each side of the equation.
2ax + 4x + -4x = 35 + -3b + 20x + -4x

Combine like terms: 4x + -4x = 0
2ax + 0 = 35 + -3b + 20x + -4x
2ax = 35 + -3b + 20x + -4x

Combine like terms: 20x + -4x = 16x
2ax = 35 + -3b + 16x

Divide each side by '2x'.
a = 17.5x-1 + -1.5bx-1 + 8

Simplifying
a = 17.5x-1 + -1.5bx-1 + 8

Reorder the terms:
a = 8 + -1.5bx-1 + 17.5x-1

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