0.1(1000-x)=0.07(2000-x)

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Solution for 0.1(1000-x)=0.07(2000-x) equation: 


Simplifying
0.1(1000 + -1x) = 0.07(2000 + -1x)
(1000 * 0.1 + -1x * 0.1) = 0.07(2000 + -1x)
(100 + -0.1x) = 0.07(2000 + -1x)
100 + -0.1x = (2000 * 0.07 + -1x * 0.07)
100 + -0.1x = (140 + -0.07x)

Solving
100 + -0.1x = 140 + -0.07x

Solving for variable 'x'.

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

Add '0.07x' to each side of the equation.
100 + -0.1x + 0.07x = 140 + -0.07x + 0.07x

Combine like terms: -0.1x + 0.07x = -0.03x
100 + -0.03x = 140 + -0.07x + 0.07x

Combine like terms: -0.07x + 0.07x = 0.00
100 + -0.03x = 140 + 0.00
100 + -0.03x = 140

Add '-100' to each side of the equation.
100 + -100 + -0.03x = 140 + -100

Combine like terms: 100 + -100 = 0
0 + -0.03x = 140 + -100
-0.03x = 140 + -100

Combine like terms: 140 + -100 = 40
-0.03x = 40

Divide each side by '-0.03'.
x = -1333.333333

Simplifying
x = -1333.333333

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