0.4x+12=0.5x+10

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Solution for 0.4x+12=0.5x+10 equation: 


Simplifying
0.4x + 12 = 0.5x + 10

Reorder the terms:
12 + 0.4x = 0.5x + 10

Reorder the terms:
12 + 0.4x = 10 + 0.5x

Solving
12 + 0.4x = 10 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
12 + 0.4x + -0.5x = 10 + 0.5x + -0.5x

Combine like terms: 0.4x + -0.5x = -0.1x
12 + -0.1x = 10 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
12 + -0.1x = 10 + 0.0
12 + -0.1x = 10

Add '-12' to each side of the equation.
12 + -12 + -0.1x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -0.1x = 10 + -12
-0.1x = 10 + -12

Combine like terms: 10 + -12 = -2
-0.1x = -2

Divide each side by '-0.1'.
x = 20

Simplifying
x = 20

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