0.8x-0.1=0.4x+0.7

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Solution for 0.8x-0.1=0.4x+0.7 equation: 


Simplifying
0.8x + -0.1 = 0.4x + 0.7

Reorder the terms:
-0.1 + 0.8x = 0.4x + 0.7

Reorder the terms:
-0.1 + 0.8x = 0.7 + 0.4x

Solving
-0.1 + 0.8x = 0.7 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
-0.1 + 0.8x + -0.4x = 0.7 + 0.4x + -0.4x

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

Combine like terms: 0.4x + -0.4x = 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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