90+1.20x=.75(150+x)

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Solution for 90+1.20x=.75(150+x) equation:


Simplifying
90 + 1.20x = 0.75(150 + x)
90 + 1.20x = (150 * 0.75 + x * 0.75)
90 + 1.20x = (112.5 + 0.75x)

Solving
90 + 1.20x = 112.5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
90 + 1.20x + -0.75x = 112.5 + 0.75x + -0.75x

Combine like terms: 1.20x + -0.75x = 0.45x
90 + 0.45x = 112.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
90 + 0.45x = 112.5 + 0.00
90 + 0.45x = 112.5

Add '-90' to each side of the equation.
90 + -90 + 0.45x = 112.5 + -90

Combine like terms: 90 + -90 = 0
0 + 0.45x = 112.5 + -90
0.45x = 112.5 + -90

Combine like terms: 112.5 + -90 = 22.5
0.45x = 22.5

Divide each side by '0.45'.
x = 50

Simplifying
x = 50

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