5.3x+25.35=1.2(7.8+7.7x)+2.2

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Solution for 5.3x+25.35=1.2(7.8+7.7x)+2.2 equation:


Simplifying
5.3x + 25.35 = 1.2(7.8 + 7.7x) + 2.2

Reorder the terms:
25.35 + 5.3x = 1.2(7.8 + 7.7x) + 2.2
25.35 + 5.3x = (7.8 * 1.2 + 7.7x * 1.2) + 2.2
25.35 + 5.3x = (9.36 + 9.24x) + 2.2

Reorder the terms:
25.35 + 5.3x = 9.36 + 2.2 + 9.24x

Combine like terms: 9.36 + 2.2 = 11.56
25.35 + 5.3x = 11.56 + 9.24x

Solving
25.35 + 5.3x = 11.56 + 9.24x

Solving for variable 'x'.

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

Add '-9.24x' to each side of the equation.
25.35 + 5.3x + -9.24x = 11.56 + 9.24x + -9.24x

Combine like terms: 5.3x + -9.24x = -3.94x
25.35 + -3.94x = 11.56 + 9.24x + -9.24x

Combine like terms: 9.24x + -9.24x = 0.00
25.35 + -3.94x = 11.56 + 0.00
25.35 + -3.94x = 11.56

Add '-25.35' to each side of the equation.
25.35 + -25.35 + -3.94x = 11.56 + -25.35

Combine like terms: 25.35 + -25.35 = 0.00
0.00 + -3.94x = 11.56 + -25.35
-3.94x = 11.56 + -25.35

Combine like terms: 11.56 + -25.35 = -13.79
-3.94x = -13.79

Divide each side by '-3.94'.
x = 3.5

Simplifying
x = 3.5

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