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

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


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

Reorder the terms:
4(6 + x) + -4 = 6(x + 3) + -6
(6 * 4 + x * 4) + -4 = 6(x + 3) + -6
(24 + 4x) + -4 = 6(x + 3) + -6

Reorder the terms:
24 + -4 + 4x = 6(x + 3) + -6

Combine like terms: 24 + -4 = 20
20 + 4x = 6(x + 3) + -6

Reorder the terms:
20 + 4x = 6(3 + x) + -6
20 + 4x = (3 * 6 + x * 6) + -6
20 + 4x = (18 + 6x) + -6

Reorder the terms:
20 + 4x = 18 + -6 + 6x

Combine like terms: 18 + -6 = 12
20 + 4x = 12 + 6x

Solving
20 + 4x = 12 + 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.
20 + 4x + -6x = 12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
20 + -2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -2x = 12 + 0
20 + -2x = 12

Add '-20' to each side of the equation.
20 + -20 + -2x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 12 + -20
-2x = 12 + -20

Combine like terms: 12 + -20 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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