0.5(2x+100)-0.1(x-10)=87

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Solution for 0.5(2x+100)-0.1(x-10)=87 equation: 


Simplifying
0.5(2x + 100) + -0.1(x + -10) = 87

Reorder the terms:
0.5(100 + 2x) + -0.1(x + -10) = 87
(100 * 0.5 + 2x * 0.5) + -0.1(x + -10) = 87
(50 + 1x) + -0.1(x + -10) = 87

Reorder the terms:
50 + 1x + -0.1(-10 + x) = 87
50 + 1x + (-10 * -0.1 + x * -0.1) = 87
50 + 1x + (1 + -0.1x) = 87

Reorder the terms:
50 + 1 + 1x + -0.1x = 87

Combine like terms: 50 + 1 = 51
51 + 1x + -0.1x = 87

Combine like terms: 1x + -0.1x = 0.9x
51 + 0.9x = 87

Solving
51 + 0.9x = 87

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + 0.9x = 87 + -51

Combine like terms: 51 + -51 = 0
0 + 0.9x = 87 + -51
0.9x = 87 + -51

Combine like terms: 87 + -51 = 36
0.9x = 36

Divide each side by '0.9'.
x = 40

Simplifying
x = 40

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