2(x-1)=13+.5(100-x)

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Solution for 2(x-1)=13+.5(100-x) equation:


Simplifying
2(x + -1) = 13 + 0.5(100 + -1x)

Reorder the terms:
2(-1 + x) = 13 + 0.5(100 + -1x)
(-1 * 2 + x * 2) = 13 + 0.5(100 + -1x)
(-2 + 2x) = 13 + 0.5(100 + -1x)
-2 + 2x = 13 + (100 * 0.5 + -1x * 0.5)
-2 + 2x = 13 + (50 + -0.5x)

Combine like terms: 13 + 50 = 63
-2 + 2x = 63 + -0.5x

Solving
-2 + 2x = 63 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-2 + 2x + 0.5x = 63 + -0.5x + 0.5x

Combine like terms: 2x + 0.5x = 2.5x
-2 + 2.5x = 63 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-2 + 2.5x = 63 + 0.0
-2 + 2.5x = 63

Add '2' to each side of the equation.
-2 + 2 + 2.5x = 63 + 2

Combine like terms: -2 + 2 = 0
0 + 2.5x = 63 + 2
2.5x = 63 + 2

Combine like terms: 63 + 2 = 65
2.5x = 65

Divide each side by '2.5'.
x = 26

Simplifying
x = 26

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