0.1x-13.7=0.04x+10.9

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Solution for 0.1x-13.7=0.04x+10.9 equation: 


Simplifying
0.1x + -13.7 = 0.04x + 10.9

Reorder the terms:
-13.7 + 0.1x = 0.04x + 10.9

Reorder the terms:
-13.7 + 0.1x = 10.9 + 0.04x

Solving
-13.7 + 0.1x = 10.9 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
-13.7 + 0.1x + -0.04x = 10.9 + 0.04x + -0.04x

Combine like terms: 0.1x + -0.04x = 0.06x
-13.7 + 0.06x = 10.9 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-13.7 + 0.06x = 10.9 + 0.00
-13.7 + 0.06x = 10.9

Add '13.7' to each side of the equation.
-13.7 + 13.7 + 0.06x = 10.9 + 13.7

Combine like terms: -13.7 + 13.7 = 0.0
0.0 + 0.06x = 10.9 + 13.7
0.06x = 10.9 + 13.7

Combine like terms: 10.9 + 13.7 = 24.6
0.06x = 24.6

Divide each side by '0.06'.
x = 410

Simplifying
x = 410

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