.2(x+5)-6=.4(3x-20)

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Solution for .2(x+5)-6=.4(3x-20) equation:


Simplifying
0.2(x + 5) + -6 = 0.4(3x + -20)

Reorder the terms:
0.2(5 + x) + -6 = 0.4(3x + -20)
(5 * 0.2 + x * 0.2) + -6 = 0.4(3x + -20)
(1 + 0.2x) + -6 = 0.4(3x + -20)

Reorder the terms:
1 + -6 + 0.2x = 0.4(3x + -20)

Combine like terms: 1 + -6 = -5
-5 + 0.2x = 0.4(3x + -20)

Reorder the terms:
-5 + 0.2x = 0.4(-20 + 3x)
-5 + 0.2x = (-20 * 0.4 + 3x * 0.4)
-5 + 0.2x = (-8 + 1.2x)

Solving
-5 + 0.2x = -8 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-5 + 0.2x + -1.2x = -8 + 1.2x + -1.2x

Combine like terms: 0.2x + -1.2x = -1x
-5 + -1x = -8 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-5 + -1x = -8 + 0.0
-5 + -1x = -8

Add '5' to each side of the equation.
-5 + 5 + -1x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -8 + 5
-1x = -8 + 5

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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