0.5(x-70)-0.15(x-50)=-35.5

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Solution for 0.5(x-70)-0.15(x-50)=-35.5 equation:


Simplifying
0.5(x + -70) + -0.15(x + -50) = -35.5

Reorder the terms:
0.5(-70 + x) + -0.15(x + -50) = -35.5
(-70 * 0.5 + x * 0.5) + -0.15(x + -50) = -35.5
(-35 + 0.5x) + -0.15(x + -50) = -35.5

Reorder the terms:
-35 + 0.5x + -0.15(-50 + x) = -35.5
-35 + 0.5x + (-50 * -0.15 + x * -0.15) = -35.5
-35 + 0.5x + (7.5 + -0.15x) = -35.5

Reorder the terms:
-35 + 7.5 + 0.5x + -0.15x = -35.5

Combine like terms: -35 + 7.5 = -27.5
-27.5 + 0.5x + -0.15x = -35.5

Combine like terms: 0.5x + -0.15x = 0.35x
-27.5 + 0.35x = -35.5

Solving
-27.5 + 0.35x = -35.5

Solving for variable 'x'.

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

Add '27.5' to each side of the equation.
-27.5 + 27.5 + 0.35x = -35.5 + 27.5

Combine like terms: -27.5 + 27.5 = 0.0
0.0 + 0.35x = -35.5 + 27.5
0.35x = -35.5 + 27.5

Combine like terms: -35.5 + 27.5 = -8
0.35x = -8

Divide each side by '0.35'.
x = -22.85714286

Simplifying
x = -22.85714286

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