5(90-x)-2(180-x)=45

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Solution for 5(90-x)-2(180-x)=45 equation:


Simplifying
5(90 + -1x) + -2(180 + -1x) = 45
(90 * 5 + -1x * 5) + -2(180 + -1x) = 45
(450 + -5x) + -2(180 + -1x) = 45
450 + -5x + (180 * -2 + -1x * -2) = 45
450 + -5x + (-360 + 2x) = 45

Reorder the terms:
450 + -360 + -5x + 2x = 45

Combine like terms: 450 + -360 = 90
90 + -5x + 2x = 45

Combine like terms: -5x + 2x = -3x
90 + -3x = 45

Solving
90 + -3x = 45

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + -3x = 45 + -90

Combine like terms: 90 + -90 = 0
0 + -3x = 45 + -90
-3x = 45 + -90

Combine like terms: 45 + -90 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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