0.8x-0.1=0.5-0.2(7-5x)

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Solution for 0.8x-0.1=0.5-0.2(7-5x) equation: 


Simplifying
0.8x + -0.1 = 0.5 + -0.2(7 + -5x)

Reorder the terms:
-0.1 + 0.8x = 0.5 + -0.2(7 + -5x)
-0.1 + 0.8x = 0.5 + (7 * -0.2 + -5x * -0.2)
-0.1 + 0.8x = 0.5 + (-1.4 + 1x)

Combine like terms: 0.5 + -1.4 = -0.9
-0.1 + 0.8x = -0.9 + 1x

Solving
-0.1 + 0.8x = -0.9 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-0.1 + 0.8x + -1x = -0.9 + 1x + -1x

Combine like terms: 0.8x + -1x = -0.2x
-0.1 + -0.2x = -0.9 + 1x + -1x

Combine like terms: 1x + -1x = 0
-0.1 + -0.2x = -0.9 + 0
-0.1 + -0.2x = -0.9

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.2x = -0.9 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.2x = -0.9 + 0.1
-0.2x = -0.9 + 0.1

Combine like terms: -0.9 + 0.1 = -0.8
-0.2x = -0.8

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

Simplifying
x = 4

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