4.5(x+2.5)-x=x-65

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Solution for 4.5(x+2.5)-x=x-65 equation: 


Simplifying
4.5(x + 2.5) + -1x = x + -65

Reorder the terms:
4.5(2.5 + x) + -1x = x + -65
(2.5 * 4.5 + x * 4.5) + -1x = x + -65
(11.25 + 4.5x) + -1x = x + -65

Combine like terms: 4.5x + -1x = 3.5x
11.25 + 3.5x = x + -65

Reorder the terms:
11.25 + 3.5x = -65 + x

Solving
11.25 + 3.5x = -65 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
11.25 + 3.5x + -1x = -65 + x + -1x

Combine like terms: 3.5x + -1x = 2.5x
11.25 + 2.5x = -65 + x + -1x

Combine like terms: x + -1x = 0
11.25 + 2.5x = -65 + 0
11.25 + 2.5x = -65

Add '-11.25' to each side of the equation.
11.25 + -11.25 + 2.5x = -65 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + 2.5x = -65 + -11.25
2.5x = -65 + -11.25

Combine like terms: -65 + -11.25 = -76.25
2.5x = -76.25

Divide each side by '2.5'.
x = -30.5

Simplifying
x = -30.5

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