4(X-3)=6X+4(X+3)

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Solution for 4(X-3)=6X+4(X+3) equation: 


Simplifying
4(X + -3) = 6X + 4(X + 3)

Reorder the terms:
4(-3 + X) = 6X + 4(X + 3)
(-3 * 4 + X * 4) = 6X + 4(X + 3)
(-12 + 4X) = 6X + 4(X + 3)

Reorder the terms:
-12 + 4X = 6X + 4(3 + X)
-12 + 4X = 6X + (3 * 4 + X * 4)
-12 + 4X = 6X + (12 + 4X)

Reorder the terms:
-12 + 4X = 12 + 6X + 4X

Combine like terms: 6X + 4X = 10X
-12 + 4X = 12 + 10X

Solving
-12 + 4X = 12 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
-12 + 4X + -10X = 12 + 10X + -10X

Combine like terms: 4X + -10X = -6X
-12 + -6X = 12 + 10X + -10X

Combine like terms: 10X + -10X = 0
-12 + -6X = 12 + 0
-12 + -6X = 12

Add '12' to each side of the equation.
-12 + 12 + -6X = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -6X = 12 + 12
-6X = 12 + 12

Combine like terms: 12 + 12 = 24
-6X = 24

Divide each side by '-6'.
X = -4

Simplifying
X = -4

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