.15x+.4(x-100)=30

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Solution for .15x+.4(x-100)=30 equation:


Simplifying
0.15x + 0.4(x + -100) = 30

Reorder the terms:
0.15x + 0.4(-100 + x) = 30
0.15x + (-100 * 0.4 + x * 0.4) = 30
0.15x + (-40 + 0.4x) = 30

Reorder the terms:
-40 + 0.15x + 0.4x = 30

Combine like terms: 0.15x + 0.4x = 0.55x
-40 + 0.55x = 30

Solving
-40 + 0.55x = 30

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 0.55x = 30 + 40

Combine like terms: -40 + 40 = 0
0 + 0.55x = 30 + 40
0.55x = 30 + 40

Combine like terms: 30 + 40 = 70
0.55x = 70

Divide each side by '0.55'.
x = 127.2727273

Simplifying
x = 127.2727273

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