0.05x+40=0.1(x-100)+35

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Solution for 0.05x+40=0.1(x-100)+35 equation: 


Simplifying
0.05x + 40 = 0.1(x + -100) + 35

Reorder the terms:
40 + 0.05x = 0.1(x + -100) + 35

Reorder the terms:
40 + 0.05x = 0.1(-100 + x) + 35
40 + 0.05x = (-100 * 0.1 + x * 0.1) + 35
40 + 0.05x = (-10 + 0.1x) + 35

Reorder the terms:
40 + 0.05x = -10 + 35 + 0.1x

Combine like terms: -10 + 35 = 25
40 + 0.05x = 25 + 0.1x

Solving
40 + 0.05x = 25 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
40 + 0.05x + -0.1x = 25 + 0.1x + -0.1x

Combine like terms: 0.05x + -0.1x = -0.05x
40 + -0.05x = 25 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
40 + -0.05x = 25 + 0.0
40 + -0.05x = 25

Add '-40' to each side of the equation.
40 + -40 + -0.05x = 25 + -40

Combine like terms: 40 + -40 = 0
0 + -0.05x = 25 + -40
-0.05x = 25 + -40

Combine like terms: 25 + -40 = -15
-0.05x = -15

Divide each side by '-0.05'.
x = 300

Simplifying
x = 300

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