.2(x-.50)-6=.4(3x+20)

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Solution for .2(x-.50)-6=.4(3x+20) equation:


Simplifying
0.2(x + -0.50) + -6 = 0.4(3x + 20)

Reorder the terms:
0.2(-0.50 + x) + -6 = 0.4(3x + 20)
(-0.50 * 0.2 + x * 0.2) + -6 = 0.4(3x + 20)
(-0.1 + 0.2x) + -6 = 0.4(3x + 20)

Reorder the terms:
-0.1 + -6 + 0.2x = 0.4(3x + 20)

Combine like terms: -0.1 + -6 = -6.1
-6.1 + 0.2x = 0.4(3x + 20)

Reorder the terms:
-6.1 + 0.2x = 0.4(20 + 3x)
-6.1 + 0.2x = (20 * 0.4 + 3x * 0.4)
-6.1 + 0.2x = (8 + 1.2x)

Solving
-6.1 + 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.
-6.1 + 0.2x + -1.2x = 8 + 1.2x + -1.2x

Combine like terms: 0.2x + -1.2x = -1x
-6.1 + -1x = 8 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-6.1 + -1x = 8 + 0.0
-6.1 + -1x = 8

Add '6.1' to each side of the equation.
-6.1 + 6.1 + -1x = 8 + 6.1

Combine like terms: -6.1 + 6.1 = 0.0
0.0 + -1x = 8 + 6.1
-1x = 8 + 6.1

Combine like terms: 8 + 6.1 = 14.1
-1x = 14.1

Divide each side by '-1'.
x = -14.1

Simplifying
x = -14.1

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