0.5x+0.1=0.9x-0.7

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Solution for 0.5x+0.1=0.9x-0.7 equation: 


Simplifying
0.5x + 0.1 = 0.9x + -0.7

Reorder the terms:
0.1 + 0.5x = 0.9x + -0.7

Reorder the terms:
0.1 + 0.5x = -0.7 + 0.9x

Solving
0.1 + 0.5x = -0.7 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
0.1 + 0.5x + -0.9x = -0.7 + 0.9x + -0.9x

Combine like terms: 0.5x + -0.9x = -0.4x
0.1 + -0.4x = -0.7 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
0.1 + -0.4x = -0.7 + 0.0
0.1 + -0.4x = -0.7

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.4x = -0.7 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.4x = -0.7 + -0.1
-0.4x = -0.7 + -0.1

Combine like terms: -0.7 + -0.1 = -0.8
-0.4x = -0.8

Divide each side by '-0.4'.
x = 2

Simplifying
x = 2

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