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

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


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

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

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

Combine like terms: 24 + 6 = 30
30 + 4x = 6x + -4

Reorder the terms:
30 + 4x = -4 + 6x

Solving
30 + 4x = -4 + 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.
30 + 4x + -6x = -4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
30 + -2x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + -2x = -4 + 0
30 + -2x = -4

Add '-30' to each side of the equation.
30 + -30 + -2x = -4 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = -4 + -30
-2x = -4 + -30

Combine like terms: -4 + -30 = -34
-2x = -34

Divide each side by '-2'.
x = 17

Simplifying
x = 17

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