1.4x-3.1=0.2(x-27.5)

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Solution for 1.4x-3.1=0.2(x-27.5) equation: 


Simplifying
1.4x + -3.1 = 0.2(x + -27.5)

Reorder the terms:
-3.1 + 1.4x = 0.2(x + -27.5)

Reorder the terms:
-3.1 + 1.4x = 0.2(-27.5 + x)
-3.1 + 1.4x = (-27.5 * 0.2 + x * 0.2)
-3.1 + 1.4x = (-5.5 + 0.2x)

Solving
-3.1 + 1.4x = -5.5 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-3.1 + 1.4x + -0.2x = -5.5 + 0.2x + -0.2x

Combine like terms: 1.4x + -0.2x = 1.2x
-3.1 + 1.2x = -5.5 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-3.1 + 1.2x = -5.5 + 0.0
-3.1 + 1.2x = -5.5

Add '3.1' to each side of the equation.
-3.1 + 3.1 + 1.2x = -5.5 + 3.1

Combine like terms: -3.1 + 3.1 = 0.0
0.0 + 1.2x = -5.5 + 3.1
1.2x = -5.5 + 3.1

Combine like terms: -5.5 + 3.1 = -2.4
1.2x = -2.4

Divide each side by '1.2'.
x = -2

Simplifying
x = -2

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