.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 + -50) + 6 = 0.4(3x + 20)

Reorder the terms:
0.2(-50 + x) + 6 = 0.4(3x + 20)
(-50 * 0.2 + x * 0.2) + 6 = 0.4(3x + 20)
(-10 + 0.2x) + 6 = 0.4(3x + 20)

Reorder the terms:
-10 + 6 + 0.2x = 0.4(3x + 20)

Combine like terms: -10 + 6 = -4
-4 + 0.2x = 0.4(3x + 20)

Reorder the terms:
-4 + 0.2x = 0.4(20 + 3x)
-4 + 0.2x = (20 * 0.4 + 3x * 0.4)
-4 + 0.2x = (8 + 1.2x)

Solving
-4 + 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.
-4 + 0.2x + -1.2x = 8 + 1.2x + -1.2x

Combine like terms: 0.2x + -1.2x = -1x
-4 + -1x = 8 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-4 + -1x = 8 + 0.0
-4 + -1x = 8

Add '4' to each side of the equation.
-4 + 4 + -1x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 8 + 4
-1x = 8 + 4

Combine like terms: 8 + 4 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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