.7x+.2(x-4)=-.1x+.2

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


Simplifying
0.7x + 0.2(x + -4) = -0.1x + 0.2

Reorder the terms:
0.7x + 0.2(-4 + x) = -0.1x + 0.2
0.7x + (-4 * 0.2 + x * 0.2) = -0.1x + 0.2
0.7x + (-0.8 + 0.2x) = -0.1x + 0.2

Reorder the terms:
-0.8 + 0.7x + 0.2x = -0.1x + 0.2

Combine like terms: 0.7x + 0.2x = 0.9x
-0.8 + 0.9x = -0.1x + 0.2

Reorder the terms:
-0.8 + 0.9x = 0.2 + -0.1x

Solving
-0.8 + 0.9x = 0.2 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
-0.8 + 0.9x + 0.1x = 0.2 + -0.1x + 0.1x

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

Combine like terms: -0.1x + 0.1x = 0.0
-0.8 + 1x = 0.2 + 0.0
-0.8 + 1x = 0.2

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 1x = 0.2 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 1x = 0.2 + 0.8
1x = 0.2 + 0.8

Combine like terms: 0.2 + 0.8 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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