2y-1+x+3x-3+2x-1+3x-3+x=100

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Solution for 2y-1+x+3x-3+2x-1+3x-3+x=100 equation:


Simplifying
2y + -1 + x + 3x + -3 + 2x + -1 + 3x + -3 + x = 100

Reorder the terms:
-1 + -3 + -1 + -3 + x + 3x + 2x + 3x + x + 2y = 100

Combine like terms: -1 + -3 = -4
-4 + -1 + -3 + x + 3x + 2x + 3x + x + 2y = 100

Combine like terms: -4 + -1 = -5
-5 + -3 + x + 3x + 2x + 3x + x + 2y = 100

Combine like terms: -5 + -3 = -8
-8 + x + 3x + 2x + 3x + x + 2y = 100

Combine like terms: x + 3x = 4x
-8 + 4x + 2x + 3x + x + 2y = 100

Combine like terms: 4x + 2x = 6x
-8 + 6x + 3x + x + 2y = 100

Combine like terms: 6x + 3x = 9x
-8 + 9x + x + 2y = 100

Combine like terms: 9x + x = 10x
-8 + 10x + 2y = 100

Solving
-8 + 10x + 2y = 100

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 10x + 8 + 2y = 100 + 8

Reorder the terms:
-8 + 8 + 10x + 2y = 100 + 8

Combine like terms: -8 + 8 = 0
0 + 10x + 2y = 100 + 8
10x + 2y = 100 + 8

Combine like terms: 100 + 8 = 108
10x + 2y = 108

Add '-2y' to each side of the equation.
10x + 2y + -2y = 108 + -2y

Combine like terms: 2y + -2y = 0
10x + 0 = 108 + -2y
10x = 108 + -2y

Divide each side by '10'.
x = 10.8 + -0.2y

Simplifying
x = 10.8 + -0.2y

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