3.1x-1.4=1.3x+6.7

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Solution for 3.1x-1.4=1.3x+6.7 equation: 


Simplifying
3.1x + -1.4 = 1.3x + 6.7

Reorder the terms:
-1.4 + 3.1x = 1.3x + 6.7

Reorder the terms:
-1.4 + 3.1x = 6.7 + 1.3x

Solving
-1.4 + 3.1x = 6.7 + 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.
-1.4 + 3.1x + -1.3x = 6.7 + 1.3x + -1.3x

Combine like terms: 3.1x + -1.3x = 1.8x
-1.4 + 1.8x = 6.7 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
-1.4 + 1.8x = 6.7 + 0.0
-1.4 + 1.8x = 6.7

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 1.8x = 6.7 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 1.8x = 6.7 + 1.4
1.8x = 6.7 + 1.4

Combine like terms: 6.7 + 1.4 = 8.1
1.8x = 8.1

Divide each side by '1.8'.
x = 4.5

Simplifying
x = 4.5

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