.2(x-15)-(x+5)=20

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Solution for .2(x-15)-(x+5)=20 equation: 


Simplifying
0.2(x + -15) + -1(x + 5) = 20

Reorder the terms:
0.2(-15 + x) + -1(x + 5) = 20
(-15 * 0.2 + x * 0.2) + -1(x + 5) = 20
(-3 + 0.2x) + -1(x + 5) = 20

Reorder the terms:
-3 + 0.2x + -1(5 + x) = 20
-3 + 0.2x + (5 * -1 + x * -1) = 20
-3 + 0.2x + (-5 + -1x) = 20

Reorder the terms:
-3 + -5 + 0.2x + -1x = 20

Combine like terms: -3 + -5 = -8
-8 + 0.2x + -1x = 20

Combine like terms: 0.2x + -1x = -0.8x
-8 + -0.8x = 20

Solving
-8 + -0.8x = 20

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -0.8x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + -0.8x = 20 + 8
-0.8x = 20 + 8

Combine like terms: 20 + 8 = 28
-0.8x = 28

Divide each side by '-0.8'.
x = -35

Simplifying
x = -35

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