0.5(2x-5)=18-1.05x

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Solution for 0.5(2x-5)=18-1.05x equation: 


Simplifying
0.5(2x + -5) = 18 + -1.05x

Reorder the terms:
0.5(-5 + 2x) = 18 + -1.05x
(-5 * 0.5 + 2x * 0.5) = 18 + -1.05x
(-2.5 + 1x) = 18 + -1.05x

Solving
-2.5 + 1x = 18 + -1.05x

Solving for variable 'x'.

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

Add '1.05x' to each side of the equation.
-2.5 + 1x + 1.05x = 18 + -1.05x + 1.05x

Combine like terms: 1x + 1.05x = 2.05x
-2.5 + 2.05x = 18 + -1.05x + 1.05x

Combine like terms: -1.05x + 1.05x = 0.00
-2.5 + 2.05x = 18 + 0.00
-2.5 + 2.05x = 18

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 2.05x = 18 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 2.05x = 18 + 2.5
2.05x = 18 + 2.5

Combine like terms: 18 + 2.5 = 20.5
2.05x = 20.5

Divide each side by '2.05'.
x = 10

Simplifying
x = 10

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