0.2X-0.1(19-5X)=0.3(X-7)

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Solution for 0.2X-0.1(19-5X)=0.3(X-7) equation: 


Simplifying
0.2X + -0.1(19 + -5X) = 0.3(X + -7)
0.2X + (19 * -0.1 + -5X * -0.1) = 0.3(X + -7)
0.2X + (-1.9 + 0.5X) = 0.3(X + -7)

Reorder the terms:
-1.9 + 0.2X + 0.5X = 0.3(X + -7)

Combine like terms: 0.2X + 0.5X = 0.7X
-1.9 + 0.7X = 0.3(X + -7)

Reorder the terms:
-1.9 + 0.7X = 0.3(-7 + X)
-1.9 + 0.7X = (-7 * 0.3 + X * 0.3)
-1.9 + 0.7X = (-2.1 + 0.3X)

Solving
-1.9 + 0.7X = -2.1 + 0.3X

Solving for variable 'X'.

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

Add '-0.3X' to each side of the equation.
-1.9 + 0.7X + -0.3X = -2.1 + 0.3X + -0.3X

Combine like terms: 0.7X + -0.3X = 0.4X
-1.9 + 0.4X = -2.1 + 0.3X + -0.3X

Combine like terms: 0.3X + -0.3X = 0.0
-1.9 + 0.4X = -2.1 + 0.0
-1.9 + 0.4X = -2.1

Add '1.9' to each side of the equation.
-1.9 + 1.9 + 0.4X = -2.1 + 1.9

Combine like terms: -1.9 + 1.9 = 0.0
0.0 + 0.4X = -2.1 + 1.9
0.4X = -2.1 + 1.9

Combine like terms: -2.1 + 1.9 = -0.2
0.4X = -0.2

Divide each side by '0.4'.
X = -0.5

Simplifying
X = -0.5

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