3.1(x-2)=1.3x+28

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Solution for 3.1(x-2)=1.3x+28 equation: 


Simplifying
3.1(x + -2) = 1.3x + 28

Reorder the terms:
3.1(-2 + x) = 1.3x + 28
(-2 * 3.1 + x * 3.1) = 1.3x + 28
(-6.2 + 3.1x) = 1.3x + 28

Reorder the terms:
-6.2 + 3.1x = 28 + 1.3x

Solving
-6.2 + 3.1x = 28 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
-6.2 + 3.1x + -1.3x = 28 + 1.3x + -1.3x

Combine like terms: 3.1x + -1.3x = 1.8x
-6.2 + 1.8x = 28 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
-6.2 + 1.8x = 28 + 0.0
-6.2 + 1.8x = 28

Add '6.2' to each side of the equation.
-6.2 + 6.2 + 1.8x = 28 + 6.2

Combine like terms: -6.2 + 6.2 = 0.0
0.0 + 1.8x = 28 + 6.2
1.8x = 28 + 6.2

Combine like terms: 28 + 6.2 = 34.2
1.8x = 34.2

Divide each side by '1.8'.
x = 19

Simplifying
x = 19

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