1.10(x-5.80x)=7.50(x-1.80)

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Solution for 1.10(x-5.80x)=7.50(x-1.80) equation: 


Simplifying
1.10(x + -5.80x) = 7.50(x + -1.80)

Combine like terms: x + -5.80x = -4.8x
1.10(-4.8x) = 7.50(x + -1.80)

Remove parenthesis around (-4.8x)
1.10 * -4.8x = 7.50(x + -1.80)

Multiply 1.10 * -4.8
-5.28x = 7.50(x + -1.80)

Reorder the terms:
-5.28x = 7.50(-1.80 + x)
-5.28x = (-1.80 * 7.50 + x * 7.50)
-5.28x = (-13.5 + 7.50x)

Solving
-5.28x = -13.5 + 7.50x

Solving for variable 'x'.

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

Add '-7.50x' to each side of the equation.
-5.28x + -7.50x = -13.5 + 7.50x + -7.50x

Combine like terms: -5.28x + -7.50x = -12.78x
-12.78x = -13.5 + 7.50x + -7.50x

Combine like terms: 7.50x + -7.50x = 0.00
-12.78x = -13.5 + 0.00
-12.78x = -13.5

Divide each side by '-12.78'.
x = 1.056338028

Simplifying
x = 1.056338028

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