4(x+6)+2(x-3)=3(x+6)

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Solution for 4(x+6)+2(x-3)=3(x+6) equation:


Simplifying
4(x + 6) + 2(x + -3) = 3(x + 6)

Reorder the terms:
4(6 + x) + 2(x + -3) = 3(x + 6)
(6 * 4 + x * 4) + 2(x + -3) = 3(x + 6)
(24 + 4x) + 2(x + -3) = 3(x + 6)

Reorder the terms:
24 + 4x + 2(-3 + x) = 3(x + 6)
24 + 4x + (-3 * 2 + x * 2) = 3(x + 6)
24 + 4x + (-6 + 2x) = 3(x + 6)

Reorder the terms:
24 + -6 + 4x + 2x = 3(x + 6)

Combine like terms: 24 + -6 = 18
18 + 4x + 2x = 3(x + 6)

Combine like terms: 4x + 2x = 6x
18 + 6x = 3(x + 6)

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

Add '-18' to each side of the equation.
18 + -18 + 6x = 18 + -18 + 3x

Combine like terms: 18 + -18 = 0
0 + 6x = 18 + -18 + 3x
6x = 18 + -18 + 3x

Combine like terms: 18 + -18 = 0
6x = 0 + 3x
6x = 3x

Solving
6x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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