6(x-2)-2=4(1+3x)

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Solution for 6(x-2)-2=4(1+3x) equation:


Simplifying
6(x + -2) + -2 = 4(1 + 3x)

Reorder the terms:
6(-2 + x) + -2 = 4(1 + 3x)
(-2 * 6 + x * 6) + -2 = 4(1 + 3x)
(-12 + 6x) + -2 = 4(1 + 3x)

Reorder the terms:
-12 + -2 + 6x = 4(1 + 3x)

Combine like terms: -12 + -2 = -14
-14 + 6x = 4(1 + 3x)
-14 + 6x = (1 * 4 + 3x * 4)
-14 + 6x = (4 + 12x)

Solving
-14 + 6x = 4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-14 + 6x + -12x = 4 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-14 + -6x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-14 + -6x = 4 + 0
-14 + -6x = 4

Add '14' to each side of the equation.
-14 + 14 + -6x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + -6x = 4 + 14
-6x = 4 + 14

Combine like terms: 4 + 14 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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