4(x-6)=(6x-4)-6

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Solution for 4(x-6)=(6x-4)-6 equation:


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

Reorder the terms:
4(-6 + x) = (6x + -4) + -6
(-6 * 4 + x * 4) = (6x + -4) + -6
(-24 + 4x) = (6x + -4) + -6

Reorder the terms:
-24 + 4x = (-4 + 6x) + -6

Remove parenthesis around (-4 + 6x)
-24 + 4x = -4 + 6x + -6

Reorder the terms:
-24 + 4x = -4 + -6 + 6x

Combine like terms: -4 + -6 = -10
-24 + 4x = -10 + 6x

Solving
-24 + 4x = -10 + 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.
-24 + 4x + -6x = -10 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-24 + -2x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -2x = -10 + 0
-24 + -2x = -10

Add '24' to each side of the equation.
-24 + 24 + -2x = -10 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = -10 + 24
-2x = -10 + 24

Combine like terms: -10 + 24 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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