0.4x+0.7=0.6x-0.1

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Solution for 0.4x+0.7=0.6x-0.1 equation: 


Simplifying
0.4x + 0.7 = 0.6x + -0.1

Reorder the terms:
0.7 + 0.4x = 0.6x + -0.1

Reorder the terms:
0.7 + 0.4x = -0.1 + 0.6x

Solving
0.7 + 0.4x = -0.1 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.7 + 0.4x + -0.6x = -0.1 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
0.7 + -0.2x = -0.1 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.7 + -0.2x = -0.1 + 0.0
0.7 + -0.2x = -0.1

Add '-0.7' to each side of the equation.
0.7 + -0.7 + -0.2x = -0.1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -0.2x = -0.1 + -0.7
-0.2x = -0.1 + -0.7

Combine like terms: -0.1 + -0.7 = -0.8
-0.2x = -0.8

Divide each side by '-0.2'.
x = 4

Simplifying
x = 4

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