6(x+4)-3(x+6)=6(x-5)

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Solution for 6(x+4)-3(x+6)=6(x-5) equation:


Simplifying
6(x + 4) + -3(x + 6) = 6(x + -5)

Reorder the terms:
6(4 + x) + -3(x + 6) = 6(x + -5)
(4 * 6 + x * 6) + -3(x + 6) = 6(x + -5)
(24 + 6x) + -3(x + 6) = 6(x + -5)

Reorder the terms:
24 + 6x + -3(6 + x) = 6(x + -5)
24 + 6x + (6 * -3 + x * -3) = 6(x + -5)
24 + 6x + (-18 + -3x) = 6(x + -5)

Reorder the terms:
24 + -18 + 6x + -3x = 6(x + -5)

Combine like terms: 24 + -18 = 6
6 + 6x + -3x = 6(x + -5)

Combine like terms: 6x + -3x = 3x
6 + 3x = 6(x + -5)

Reorder the terms:
6 + 3x = 6(-5 + x)
6 + 3x = (-5 * 6 + x * 6)
6 + 3x = (-30 + 6x)

Solving
6 + 3x = -30 + 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.
6 + 3x + -6x = -30 + 6x + -6x

Combine like terms: 3x + -6x = -3x
6 + -3x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -3x = -30 + 0
6 + -3x = -30

Add '-6' to each side of the equation.
6 + -6 + -3x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -30 + -6
-3x = -30 + -6

Combine like terms: -30 + -6 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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