28+0.45(x-30)=40+0.25x

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Solution for 28+0.45(x-30)=40+0.25x equation: 


Simplifying
28 + 0.45(x + -30) = 40 + 0.25x

Reorder the terms:
28 + 0.45(-30 + x) = 40 + 0.25x
28 + (-30 * 0.45 + x * 0.45) = 40 + 0.25x
28 + (-13.5 + 0.45x) = 40 + 0.25x

Combine like terms: 28 + -13.5 = 14.5
14.5 + 0.45x = 40 + 0.25x

Solving
14.5 + 0.45x = 40 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
14.5 + 0.45x + -0.25x = 40 + 0.25x + -0.25x

Combine like terms: 0.45x + -0.25x = 0.2x
14.5 + 0.2x = 40 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
14.5 + 0.2x = 40 + 0.00
14.5 + 0.2x = 40

Add '-14.5' to each side of the equation.
14.5 + -14.5 + 0.2x = 40 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + 0.2x = 40 + -14.5
0.2x = 40 + -14.5

Combine like terms: 40 + -14.5 = 25.5
0.2x = 25.5

Divide each side by '0.2'.
x = 127.5

Simplifying
x = 127.5

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