.06x+.03y+.01z-75=.02(x+y+z)

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Solution for .06x+.03y+.01z-75=.02(x+y+z) equation: 


Simplifying
0.06x + 0.03y + 0.01z + -75 = 0.02(x + y + z)

Reorder the terms:
-75 + 0.06x + 0.03y + 0.01z = 0.02(x + y + z)
-75 + 0.06x + 0.03y + 0.01z = (x * 0.02 + y * 0.02 + z * 0.02)
-75 + 0.06x + 0.03y + 0.01z = (0.02x + 0.02y + 0.02z)

Solving
-75 + 0.06x + 0.03y + 0.01z = 0.02x + 0.02y + 0.02z

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-75 + 0.06x + 0.03y + -0.02x + 0.01z = 0.02x + 0.02y + -0.02x + 0.02z

Reorder the terms:
-75 + 0.06x + -0.02x + 0.03y + 0.01z = 0.02x + 0.02y + -0.02x + 0.02z

Combine like terms: 0.06x + -0.02x = 0.04x
-75 + 0.04x + 0.03y + 0.01z = 0.02x + 0.02y + -0.02x + 0.02z

Reorder the terms:
-75 + 0.04x + 0.03y + 0.01z = 0.02x + -0.02x + 0.02y + 0.02z

Combine like terms: 0.02x + -0.02x = 0.00
-75 + 0.04x + 0.03y + 0.01z = 0.00 + 0.02y + 0.02z
-75 + 0.04x + 0.03y + 0.01z = 0.02y + 0.02z

Add '75' to each side of the equation.
-75 + 0.04x + 0.03y + 75 + 0.01z = 0.02y + 75 + 0.02z

Reorder the terms:
-75 + 75 + 0.04x + 0.03y + 0.01z = 0.02y + 75 + 0.02z

Combine like terms: -75 + 75 = 0
0 + 0.04x + 0.03y + 0.01z = 0.02y + 75 + 0.02z
0.04x + 0.03y + 0.01z = 0.02y + 75 + 0.02z

Reorder the terms:
0.04x + 0.03y + 0.01z = 75 + 0.02y + 0.02z

Add '-0.03y' to each side of the equation.
0.04x + 0.03y + -0.03y + 0.01z = 75 + 0.02y + -0.03y + 0.02z

Combine like terms: 0.03y + -0.03y = 0.00
0.04x + 0.00 + 0.01z = 75 + 0.02y + -0.03y + 0.02z
0.04x + 0.01z = 75 + 0.02y + -0.03y + 0.02z

Combine like terms: 0.02y + -0.03y = -0.01y
0.04x + 0.01z = 75 + -0.01y + 0.02z

Add '-0.01z' to each side of the equation.
0.04x + 0.01z + -0.01z = 75 + -0.01y + 0.02z + -0.01z

Combine like terms: 0.01z + -0.01z = 0.00
0.04x + 0.00 = 75 + -0.01y + 0.02z + -0.01z
0.04x = 75 + -0.01y + 0.02z + -0.01z

Combine like terms: 0.02z + -0.01z = 0.01z
0.04x = 75 + -0.01y + 0.01z

Divide each side by '0.04'.
x = 1875 + -0.25y + 0.25z

Simplifying
x = 1875 + -0.25y + 0.25z

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