2.5(x-4.2)=x+3.28

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Solution for 2.5(x-4.2)=x+3.28 equation: 


Simplifying
2.5(x + -4.2) = x + 3.28

Reorder the terms:
2.5(-4.2 + x) = x + 3.28
(-4.2 * 2.5 + x * 2.5) = x + 3.28
(-10.5 + 2.5x) = x + 3.28

Reorder the terms:
-10.5 + 2.5x = 3.28 + x

Solving
-10.5 + 2.5x = 3.28 + 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.
-10.5 + 2.5x + -1x = 3.28 + x + -1x

Combine like terms: 2.5x + -1x = 1.5x
-10.5 + 1.5x = 3.28 + x + -1x

Combine like terms: x + -1x = 0
-10.5 + 1.5x = 3.28 + 0
-10.5 + 1.5x = 3.28

Add '10.5' to each side of the equation.
-10.5 + 10.5 + 1.5x = 3.28 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + 1.5x = 3.28 + 10.5
1.5x = 3.28 + 10.5

Combine like terms: 3.28 + 10.5 = 13.78
1.5x = 13.78

Divide each side by '1.5'.
x = 9.186666667

Simplifying
x = 9.186666667

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