0.4X-0.3(8-3X)=-0.7(X-8)

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Solution for 0.4X-0.3(8-3X)=-0.7(X-8) equation: 


Simplifying
0.4X + -0.3(8 + -3X) = -0.7(X + -8)
0.4X + (8 * -0.3 + -3X * -0.3) = -0.7(X + -8)
0.4X + (-2.4 + 0.9X) = -0.7(X + -8)

Reorder the terms:
-2.4 + 0.4X + 0.9X = -0.7(X + -8)

Combine like terms: 0.4X + 0.9X = 1.3X
-2.4 + 1.3X = -0.7(X + -8)

Reorder the terms:
-2.4 + 1.3X = -0.7(-8 + X)
-2.4 + 1.3X = (-8 * -0.7 + X * -0.7)
-2.4 + 1.3X = (5.6 + -0.7X)

Solving
-2.4 + 1.3X = 5.6 + -0.7X

Solving for variable 'X'.

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

Add '0.7X' to each side of the equation.
-2.4 + 1.3X + 0.7X = 5.6 + -0.7X + 0.7X

Combine like terms: 1.3X + 0.7X = 2X
-2.4 + 2X = 5.6 + -0.7X + 0.7X

Combine like terms: -0.7X + 0.7X = 0.0
-2.4 + 2X = 5.6 + 0.0
-2.4 + 2X = 5.6

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 2X = 5.6 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 2X = 5.6 + 2.4
2X = 5.6 + 2.4

Combine like terms: 5.6 + 2.4 = 8
2X = 8

Divide each side by '2'.
X = 4

Simplifying
X = 4

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