0.4x-0.2=0.15x-10.5

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Solution for 0.4x-0.2=0.15x-10.5 equation: 


Simplifying
0.4x + -0.2 = 0.15x + -10.5

Reorder the terms:
-0.2 + 0.4x = 0.15x + -10.5

Reorder the terms:
-0.2 + 0.4x = -10.5 + 0.15x

Solving
-0.2 + 0.4x = -10.5 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
-0.2 + 0.4x + -0.15x = -10.5 + 0.15x + -0.15x

Combine like terms: 0.4x + -0.15x = 0.25x
-0.2 + 0.25x = -10.5 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
-0.2 + 0.25x = -10.5 + 0.00
-0.2 + 0.25x = -10.5

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.25x = -10.5 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.25x = -10.5 + 0.2
0.25x = -10.5 + 0.2

Combine like terms: -10.5 + 0.2 = -10.3
0.25x = -10.3

Divide each side by '0.25'.
x = -41.2

Simplifying
x = -41.2

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