55+(x-70)0.33=75+(x-100)0.25

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Solution for 55+(x-70)0.33=75+(x-100)0.25 equation: 


Simplifying
55 + (x + -70) * 0.33 = 75 + (x + -100) * 0.25

Reorder the terms:
55 + (-70 + x) * 0.33 = 75 + (x + -100) * 0.25

Reorder the terms for easier multiplication:
55 + 0.33(-70 + x) = 75 + (x + -100) * 0.25
55 + (-70 * 0.33 + x * 0.33) = 75 + (x + -100) * 0.25
55 + (-23.1 + 0.33x) = 75 + (x + -100) * 0.25

Combine like terms: 55 + -23.1 = 31.9
31.9 + 0.33x = 75 + (x + -100) * 0.25

Reorder the terms:
31.9 + 0.33x = 75 + (-100 + x) * 0.25

Reorder the terms for easier multiplication:
31.9 + 0.33x = 75 + 0.25(-100 + x)
31.9 + 0.33x = 75 + (-100 * 0.25 + x * 0.25)
31.9 + 0.33x = 75 + (-25 + 0.25x)

Combine like terms: 75 + -25 = 50
31.9 + 0.33x = 50 + 0.25x

Solving
31.9 + 0.33x = 50 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
31.9 + 0.33x + -0.25x = 50 + 0.25x + -0.25x

Combine like terms: 0.33x + -0.25x = 0.08x
31.9 + 0.08x = 50 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
31.9 + 0.08x = 50 + 0.00
31.9 + 0.08x = 50

Add '-31.9' to each side of the equation.
31.9 + -31.9 + 0.08x = 50 + -31.9

Combine like terms: 31.9 + -31.9 = 0.0
0.0 + 0.08x = 50 + -31.9
0.08x = 50 + -31.9

Combine like terms: 50 + -31.9 = 18.1
0.08x = 18.1

Divide each side by '0.08'.
x = 226.25

Simplifying
x = 226.25

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