4(x+3)=6(x-1)

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Solution for 4(x+3)=6(x-1) equation:


Simplifying
4(x + 3) = 6(x + -1)

Reorder the terms:
4(3 + x) = 6(x + -1)
(3 * 4 + x * 4) = 6(x + -1)
(12 + 4x) = 6(x + -1)

Reorder the terms:
12 + 4x = 6(-1 + x)
12 + 4x = (-1 * 6 + x * 6)
12 + 4x = (-6 + 6x)

Solving
12 + 4x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 4x + -6x = -6 + 6x + -6x

Combine like terms: 4x + -6x = -2x
12 + -2x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -2x = -6 + 0
12 + -2x = -6

Add '-12' to each side of the equation.
12 + -12 + -2x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -6 + -12
-2x = -6 + -12

Combine like terms: -6 + -12 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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