-3(X+2)+4=2(2X-3)

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


Simplifying
-3(X + 2) + 4 = 2(2X + -3)

Reorder the terms:
-3(2 + X) + 4 = 2(2X + -3)
(2 * -3 + X * -3) + 4 = 2(2X + -3)
(-6 + -3X) + 4 = 2(2X + -3)

Reorder the terms:
-6 + 4 + -3X = 2(2X + -3)

Combine like terms: -6 + 4 = -2
-2 + -3X = 2(2X + -3)

Reorder the terms:
-2 + -3X = 2(-3 + 2X)
-2 + -3X = (-3 * 2 + 2X * 2)
-2 + -3X = (-6 + 4X)

Solving
-2 + -3X = -6 + 4X

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.
-2 + -3X + -4X = -6 + 4X + -4X

Combine like terms: -3X + -4X = -7X
-2 + -7X = -6 + 4X + -4X

Combine like terms: 4X + -4X = 0
-2 + -7X = -6 + 0
-2 + -7X = -6

Add '2' to each side of the equation.
-2 + 2 + -7X = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -7X = -6 + 2
-7X = -6 + 2

Combine like terms: -6 + 2 = -4
-7X = -4

Divide each side by '-7'.
X = 0.5714285714

Simplifying
X = 0.5714285714

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