.7x-0.1=0.5-0.2(9-5x)

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Solution for .7x-0.1=0.5-0.2(9-5x) equation: 


Simplifying
0.7x + -0.1 = 0.5 + -0.2(9 + -5x)

Reorder the terms:
-0.1 + 0.7x = 0.5 + -0.2(9 + -5x)
-0.1 + 0.7x = 0.5 + (9 * -0.2 + -5x * -0.2)
-0.1 + 0.7x = 0.5 + (-1.8 + 1x)

Combine like terms: 0.5 + -1.8 = -1.3
-0.1 + 0.7x = -1.3 + 1x

Solving
-0.1 + 0.7x = -1.3 + 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 + 0.7x + -1x = -1.3 + 1x + -1x

Combine like terms: 0.7x + -1x = -0.3x
-0.1 + -0.3x = -1.3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-0.1 + -0.3x = -1.3 + 0
-0.1 + -0.3x = -1.3

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.3x = -1.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.3x = -1.3 + 0.1
-0.3x = -1.3 + 0.1

Combine like terms: -1.3 + 0.1 = -1.2
-0.3x = -1.2

Divide each side by '-0.3'.
x = 4

Simplifying
x = 4

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