.2(X+100)+1.4x=84

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Solution for .2(X+100)+1.4x=84 equation: 


Simplifying
0.2(X + 100) + 1.4x = 84

Reorder the terms:
0.2(100 + X) + 1.4x = 84
(100 * 0.2 + X * 0.2) + 1.4x = 84
(20 + 0.2X) + 1.4x = 84

Solving
20 + 0.2X + 1.4x = 84

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + 0.2X + -20 + 1.4x = 84 + -20

Reorder the terms:
20 + -20 + 0.2X + 1.4x = 84 + -20

Combine like terms: 20 + -20 = 0
0 + 0.2X + 1.4x = 84 + -20
0.2X + 1.4x = 84 + -20

Combine like terms: 84 + -20 = 64
0.2X + 1.4x = 64

Add '-1.4x' to each side of the equation.
0.2X + 1.4x + -1.4x = 64 + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
0.2X + 0.0 = 64 + -1.4x
0.2X = 64 + -1.4x

Divide each side by '0.2'.
X = 320 + -7x

Simplifying
X = 320 + -7x

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