(8x+2z-1.5)+(6x+y+1)+(11y-2z+2)=61.5

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Solution for (8x+2z-1.5)+(6x+y+1)+(11y-2z+2)=61.5 equation:


Simplifying
(8x + 2z + -1.5) + (6x + y + 1) + (11y + -2z + 2) = 61.5

Reorder the terms:
(-1.5 + 8x + 2z) + (6x + y + 1) + (11y + -2z + 2) = 61.5

Remove parenthesis around (-1.5 + 8x + 2z)
-1.5 + 8x + 2z + (6x + y + 1) + (11y + -2z + 2) = 61.5

Reorder the terms:
-1.5 + 8x + 2z + (1 + 6x + y) + (11y + -2z + 2) = 61.5

Remove parenthesis around (1 + 6x + y)
-1.5 + 8x + 2z + 1 + 6x + y + (11y + -2z + 2) = 61.5

Reorder the terms:
-1.5 + 8x + 2z + 1 + 6x + y + (2 + 11y + -2z) = 61.5

Remove parenthesis around (2 + 11y + -2z)
-1.5 + 8x + 2z + 1 + 6x + y + 2 + 11y + -2z = 61.5

Reorder the terms:
-1.5 + 1 + 2 + 8x + 6x + y + 11y + 2z + -2z = 61.5

Combine like terms: -1.5 + 1 = -0.5
-0.5 + 2 + 8x + 6x + y + 11y + 2z + -2z = 61.5

Combine like terms: -0.5 + 2 = 1.5
1.5 + 8x + 6x + y + 11y + 2z + -2z = 61.5

Combine like terms: 8x + 6x = 14x
1.5 + 14x + y + 11y + 2z + -2z = 61.5

Combine like terms: y + 11y = 12y
1.5 + 14x + 12y + 2z + -2z = 61.5

Combine like terms: 2z + -2z = 0
1.5 + 14x + 12y + 0 = 61.5
1.5 + 14x + 12y = 61.5

Solving
1.5 + 14x + 12y = 61.5

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + 14x + -1.5 + 12y = 61.5 + -1.5

Reorder the terms:
1.5 + -1.5 + 14x + 12y = 61.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 14x + 12y = 61.5 + -1.5
14x + 12y = 61.5 + -1.5

Combine like terms: 61.5 + -1.5 = 60
14x + 12y = 60

Add '-12y' to each side of the equation.
14x + 12y + -12y = 60 + -12y

Combine like terms: 12y + -12y = 0
14x + 0 = 60 + -12y
14x = 60 + -12y

Divide each side by '14'.
x = 4.285714286 + -0.8571428571y

Simplifying
x = 4.285714286 + -0.8571428571y

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