0.44(x-200)+0.02x=0.12x+0.07(200)

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Solution for 0.44(x-200)+0.02x=0.12x+0.07(200) equation: 


Simplifying
0.44(x + -200) + 0.02x = 0.12x + 0.07(200)

Reorder the terms:
0.44(-200 + x) + 0.02x = 0.12x + 0.07(200)
(-200 * 0.44 + x * 0.44) + 0.02x = 0.12x + 0.07(200)
(-88 + 0.44x) + 0.02x = 0.12x + 0.07(200)

Combine like terms: 0.44x + 0.02x = 0.46x
-88 + 0.46x = 0.12x + 0.07(200)

Multiply 0.07 * 200
-88 + 0.46x = 0.12x + 14

Reorder the terms:
-88 + 0.46x = 14 + 0.12x

Solving
-88 + 0.46x = 14 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
-88 + 0.46x + -0.12x = 14 + 0.12x + -0.12x

Combine like terms: 0.46x + -0.12x = 0.34x
-88 + 0.34x = 14 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
-88 + 0.34x = 14 + 0.00
-88 + 0.34x = 14

Add '88' to each side of the equation.
-88 + 88 + 0.34x = 14 + 88

Combine like terms: -88 + 88 = 0
0 + 0.34x = 14 + 88
0.34x = 14 + 88

Combine like terms: 14 + 88 = 102
0.34x = 102

Divide each side by '0.34'.
x = 300

Simplifying
x = 300

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