x+(3x+2)+(x-8)=200

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Solution for x+(3x+2)+(x-8)=200 equation:


Simplifying
x + (3x + 2) + (x + -8) = 200

Reorder the terms:
x + (2 + 3x) + (x + -8) = 200

Remove parenthesis around (2 + 3x)
x + 2 + 3x + (x + -8) = 200

Reorder the terms:
x + 2 + 3x + (-8 + x) = 200

Remove parenthesis around (-8 + x)
x + 2 + 3x + -8 + x = 200

Reorder the terms:
2 + -8 + x + 3x + x = 200

Combine like terms: 2 + -8 = -6
-6 + x + 3x + x = 200

Combine like terms: x + 3x = 4x
-6 + 4x + x = 200

Combine like terms: 4x + x = 5x
-6 + 5x = 200

Solving
-6 + 5x = 200

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 200 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 200 + 6
5x = 200 + 6

Combine like terms: 200 + 6 = 206
5x = 206

Divide each side by '5'.
x = 41.2

Simplifying
x = 41.2

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