1.3x+10.6=3.1x-2

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Solution for 1.3x+10.6=3.1x-2 equation:


Simplifying
1.3x + 10.6 = 3.1x + -2

Reorder the terms:
10.6 + 1.3x = 3.1x + -2

Reorder the terms:
10.6 + 1.3x = -2 + 3.1x

Solving
10.6 + 1.3x = -2 + 3.1x

Solving for variable 'x'.

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

Add '-3.1x' to each side of the equation.
10.6 + 1.3x + -3.1x = -2 + 3.1x + -3.1x

Combine like terms: 1.3x + -3.1x = -1.8x
10.6 + -1.8x = -2 + 3.1x + -3.1x

Combine like terms: 3.1x + -3.1x = 0.0
10.6 + -1.8x = -2 + 0.0
10.6 + -1.8x = -2

Add '-10.6' to each side of the equation.
10.6 + -10.6 + -1.8x = -2 + -10.6

Combine like terms: 10.6 + -10.6 = 0.0
0.0 + -1.8x = -2 + -10.6
-1.8x = -2 + -10.6

Combine like terms: -2 + -10.6 = -12.6
-1.8x = -12.6

Divide each side by '-1.8'.
x = 7

Simplifying
x = 7

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