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

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


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

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

Reorder the terms:
-4 + 3x = 7x + 2(-3 + X)
-4 + 3x = 7x + (-3 * 2 + X * 2)
-4 + 3x = 7x + (-6 + 2X)

Reorder the terms:
-4 + 3x = -6 + 2X + 7x

Solving
-4 + 3x = -6 + 2X + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 3x + -7x = -6 + 2X + 7x + -7x

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

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

Add '4' to each side of the equation.
-4 + 4 + -4x = -6 + 4 + 2X

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

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

Divide each side by '-4'.
x = 0.5 + -0.5X

Simplifying
x = 0.5 + -0.5X

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