0.16x+0.4(2000)=0.22(2000+x)

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Solution for 0.16x+0.4(2000)=0.22(2000+x) equation:


Simplifying
0.16x + 0.4(2000) = 0.22(2000 + x)

Multiply 0.4 * 2000
0.16x + 800 = 0.22(2000 + x)

Reorder the terms:
800 + 0.16x = 0.22(2000 + x)
800 + 0.16x = (2000 * 0.22 + x * 0.22)
800 + 0.16x = (440 + 0.22x)

Solving
800 + 0.16x = 440 + 0.22x

Solving for variable 'x'.

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

Add '-0.22x' to each side of the equation.
800 + 0.16x + -0.22x = 440 + 0.22x + -0.22x

Combine like terms: 0.16x + -0.22x = -0.06x
800 + -0.06x = 440 + 0.22x + -0.22x

Combine like terms: 0.22x + -0.22x = 0.00
800 + -0.06x = 440 + 0.00
800 + -0.06x = 440

Add '-800' to each side of the equation.
800 + -800 + -0.06x = 440 + -800

Combine like terms: 800 + -800 = 0
0 + -0.06x = 440 + -800
-0.06x = 440 + -800

Combine like terms: 440 + -800 = -360
-0.06x = -360

Divide each side by '-0.06'.
x = 6000

Simplifying
x = 6000

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