-2(X-5)+4=4(X+7)-3x

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Solution for -2(X-5)+4=4(X+7)-3x equation: 


Simplifying
-2(X + -5) + 4 = 4(X + 7) + -3x

Reorder the terms:
-2(-5 + X) + 4 = 4(X + 7) + -3x
(-5 * -2 + X * -2) + 4 = 4(X + 7) + -3x
(10 + -2X) + 4 = 4(X + 7) + -3x

Reorder the terms:
10 + 4 + -2X = 4(X + 7) + -3x

Combine like terms: 10 + 4 = 14
14 + -2X = 4(X + 7) + -3x

Reorder the terms:
14 + -2X = 4(7 + X) + -3x
14 + -2X = (7 * 4 + X * 4) + -3x
14 + -2X = (28 + 4X) + -3x

Solving
14 + -2X = 28 + 4X + -3x

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
14 + -2X + -4X = 28 + 4X + -4X + -3x

Combine like terms: -2X + -4X = -6X
14 + -6X = 28 + 4X + -4X + -3x

Combine like terms: 4X + -4X = 0
14 + -6X = 28 + 0 + -3x
14 + -6X = 28 + -3x

Add '-14' to each side of the equation.
14 + -14 + -6X = 28 + -14 + -3x

Combine like terms: 14 + -14 = 0
0 + -6X = 28 + -14 + -3x
-6X = 28 + -14 + -3x

Combine like terms: 28 + -14 = 14
-6X = 14 + -3x

Divide each side by '-6'.
X = -2.333333333 + 0.5x

Simplifying
X = -2.333333333 + 0.5x

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