85+29+8a+2b+x-2a=200+2a+20

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Solution for 85+29+8a+2b+x-2a=200+2a+20 equation: 


Simplifying
85 + 29 + 8a + 2b + x + -2a = 200 + 2a + 20

Reorder the terms:
85 + 29 + 8a + -2a + 2b + x = 200 + 2a + 20

Combine like terms: 85 + 29 = 114
114 + 8a + -2a + 2b + x = 200 + 2a + 20

Combine like terms: 8a + -2a = 6a
114 + 6a + 2b + x = 200 + 2a + 20

Reorder the terms:
114 + 6a + 2b + x = 200 + 20 + 2a

Combine like terms: 200 + 20 = 220
114 + 6a + 2b + x = 220 + 2a

Solving
114 + 6a + 2b + x = 220 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
114 + 6a + 2b + -2a + x = 220 + 2a + -2a

Reorder the terms:
114 + 6a + -2a + 2b + x = 220 + 2a + -2a

Combine like terms: 6a + -2a = 4a
114 + 4a + 2b + x = 220 + 2a + -2a

Combine like terms: 2a + -2a = 0
114 + 4a + 2b + x = 220 + 0
114 + 4a + 2b + x = 220

Add '-114' to each side of the equation.
114 + 4a + 2b + -114 + x = 220 + -114

Reorder the terms:
114 + -114 + 4a + 2b + x = 220 + -114

Combine like terms: 114 + -114 = 0
0 + 4a + 2b + x = 220 + -114
4a + 2b + x = 220 + -114

Combine like terms: 220 + -114 = 106
4a + 2b + x = 106

Add '-2b' to each side of the equation.
4a + 2b + -2b + x = 106 + -2b

Combine like terms: 2b + -2b = 0
4a + 0 + x = 106 + -2b
4a + x = 106 + -2b

Add '-1x' to each side of the equation.
4a + x + -1x = 106 + -2b + -1x

Combine like terms: x + -1x = 0
4a + 0 = 106 + -2b + -1x
4a = 106 + -2b + -1x

Divide each side by '4'.
a = 26.5 + -0.5b + -0.25x

Simplifying
a = 26.5 + -0.5b + -0.25x

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