3(X+1)=4(X-2)

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Solution for 3(X+1)=4(X-2) equation:


Simplifying
3(X + 1) = 4(X + -2)

Reorder the terms:
3(1 + X) = 4(X + -2)
(1 * 3 + X * 3) = 4(X + -2)
(3 + 3X) = 4(X + -2)

Reorder the terms:
3 + 3X = 4(-2 + X)
3 + 3X = (-2 * 4 + X * 4)
3 + 3X = (-8 + 4X)

Solving
3 + 3X = -8 + 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.
3 + 3X + -4X = -8 + 4X + -4X

Combine like terms: 3X + -4X = -1X
3 + -1X = -8 + 4X + -4X

Combine like terms: 4X + -4X = 0
3 + -1X = -8 + 0
3 + -1X = -8

Add '-3' to each side of the equation.
3 + -3 + -1X = -8 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = -8 + -3
-1X = -8 + -3

Combine like terms: -8 + -3 = -11
-1X = -11

Divide each side by '-1'.
X = 11

Simplifying
X = 11

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