.4x-.1=.7-.3(6-2x)

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Solution for .4x-.1=.7-.3(6-2x) equation: 


Simplifying
0.4x + -0.1 = 0.7 + -0.3(6 + -2x)

Reorder the terms:
-0.1 + 0.4x = 0.7 + -0.3(6 + -2x)
-0.1 + 0.4x = 0.7 + (6 * -0.3 + -2x * -0.3)
-0.1 + 0.4x = 0.7 + (-1.8 + 0.6x)

Combine like terms: 0.7 + -1.8 = -1.1
-0.1 + 0.4x = -1.1 + 0.6x

Solving
-0.1 + 0.4x = -1.1 + 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.
-0.1 + 0.4x + -0.6x = -1.1 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
-0.1 + -0.2x = -1.1 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-0.1 + -0.2x = -1.1 + 0.0
-0.1 + -0.2x = -1.1

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.2x = -1.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.2x = -1.1 + 0.1
-0.2x = -1.1 + 0.1

Combine like terms: -1.1 + 0.1 = -1
-0.2x = -1

Divide each side by '-0.2'.
x = 5

Simplifying
x = 5

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