.4(.3x-.2)+.6-2=7(.2x+.2)+18

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Solution for .4(.3x-.2)+.6-2=7(.2x+.2)+18 equation: 


Simplifying
0.4(0.3x + -0.2) + 0.6 + -2 = 7(0.2x + 0.2) + 18

Reorder the terms:
0.4(-0.2 + 0.3x) + 0.6 + -2 = 7(0.2x + 0.2) + 18
(-0.2 * 0.4 + 0.3x * 0.4) + 0.6 + -2 = 7(0.2x + 0.2) + 18
(-0.08 + 0.12x) + 0.6 + -2 = 7(0.2x + 0.2) + 18

Reorder the terms:
-0.08 + 0.6 + -2 + 0.12x = 7(0.2x + 0.2) + 18

Combine like terms: -0.08 + 0.6 = 0.52
0.52 + -2 + 0.12x = 7(0.2x + 0.2) + 18

Combine like terms: 0.52 + -2 = -1.48
-1.48 + 0.12x = 7(0.2x + 0.2) + 18

Reorder the terms:
-1.48 + 0.12x = 7(0.2 + 0.2x) + 18
-1.48 + 0.12x = (0.2 * 7 + 0.2x * 7) + 18
-1.48 + 0.12x = (1.4 + 1.4x) + 18

Reorder the terms:
-1.48 + 0.12x = 1.4 + 18 + 1.4x

Combine like terms: 1.4 + 18 = 19.4
-1.48 + 0.12x = 19.4 + 1.4x

Solving
-1.48 + 0.12x = 19.4 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
-1.48 + 0.12x + -1.4x = 19.4 + 1.4x + -1.4x

Combine like terms: 0.12x + -1.4x = -1.28x
-1.48 + -1.28x = 19.4 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
-1.48 + -1.28x = 19.4 + 0.0
-1.48 + -1.28x = 19.4

Add '1.48' to each side of the equation.
-1.48 + 1.48 + -1.28x = 19.4 + 1.48

Combine like terms: -1.48 + 1.48 = 0.00
0.00 + -1.28x = 19.4 + 1.48
-1.28x = 19.4 + 1.48

Combine like terms: 19.4 + 1.48 = 20.88
-1.28x = 20.88

Divide each side by '-1.28'.
x = -16.3125

Simplifying
x = -16.3125

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