2(x+2)-3(y-14)+2(z-5)=20

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Solution for 2(x+2)-3(y-14)+2(z-5)=20 equation: 


Simplifying
2(x + 2) + -3(y + -14) + 2(z + -5) = 20

Reorder the terms:
2(2 + x) + -3(y + -14) + 2(z + -5) = 20
(2 * 2 + x * 2) + -3(y + -14) + 2(z + -5) = 20
(4 + 2x) + -3(y + -14) + 2(z + -5) = 20

Reorder the terms:
4 + 2x + -3(-14 + y) + 2(z + -5) = 20
4 + 2x + (-14 * -3 + y * -3) + 2(z + -5) = 20
4 + 2x + (42 + -3y) + 2(z + -5) = 20

Reorder the terms:
4 + 2x + 42 + -3y + 2(-5 + z) = 20
4 + 2x + 42 + -3y + (-5 * 2 + z * 2) = 20
4 + 2x + 42 + -3y + (-10 + 2z) = 20

Reorder the terms:
4 + 42 + -10 + 2x + -3y + 2z = 20

Combine like terms: 4 + 42 = 46
46 + -10 + 2x + -3y + 2z = 20

Combine like terms: 46 + -10 = 36
36 + 2x + -3y + 2z = 20

Solving
36 + 2x + -3y + 2z = 20

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + 2x + -3y + -36 + 2z = 20 + -36

Reorder the terms:
36 + -36 + 2x + -3y + 2z = 20 + -36

Combine like terms: 36 + -36 = 0
0 + 2x + -3y + 2z = 20 + -36
2x + -3y + 2z = 20 + -36

Combine like terms: 20 + -36 = -16
2x + -3y + 2z = -16

Add '3y' to each side of the equation.
2x + -3y + 3y + 2z = -16 + 3y

Combine like terms: -3y + 3y = 0
2x + 0 + 2z = -16 + 3y
2x + 2z = -16 + 3y

Add '-2z' to each side of the equation.
2x + 2z + -2z = -16 + 3y + -2z

Combine like terms: 2z + -2z = 0
2x + 0 = -16 + 3y + -2z
2x = -16 + 3y + -2z

Divide each side by '2'.
x = -8 + 1.5y + -1z

Simplifying
x = -8 + 1.5y + -1z

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