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

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


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

Reorder the terms:
3(-6 + x) + 4 = 6(x + -1)
(-6 * 3 + x * 3) + 4 = 6(x + -1)
(-18 + 3x) + 4 = 6(x + -1)

Reorder the terms:
-18 + 4 + 3x = 6(x + -1)

Combine like terms: -18 + 4 = -14
-14 + 3x = 6(x + -1)

Reorder the terms:
-14 + 3x = 6(-1 + x)
-14 + 3x = (-1 * 6 + x * 6)
-14 + 3x = (-6 + 6x)

Solving
-14 + 3x = -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.
-14 + 3x + -6x = -6 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-14 + -3x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-14 + -3x = -6 + 0
-14 + -3x = -6

Add '14' to each side of the equation.
-14 + 14 + -3x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = -6 + 14
-3x = -6 + 14

Combine like terms: -6 + 14 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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