4x+(3x+6)=12-4(x-3)

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Solution for 4x+(3x+6)=12-4(x-3) equation:


Simplifying
4x + (3x + 6) = 12 + -4(x + -3)

Reorder the terms:
4x + (6 + 3x) = 12 + -4(x + -3)

Remove parenthesis around (6 + 3x)
4x + 6 + 3x = 12 + -4(x + -3)

Reorder the terms:
6 + 4x + 3x = 12 + -4(x + -3)

Combine like terms: 4x + 3x = 7x
6 + 7x = 12 + -4(x + -3)

Reorder the terms:
6 + 7x = 12 + -4(-3 + x)
6 + 7x = 12 + (-3 * -4 + x * -4)
6 + 7x = 12 + (12 + -4x)

Combine like terms: 12 + 12 = 24
6 + 7x = 24 + -4x

Solving
6 + 7x = 24 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 7x + 4x = 24 + -4x + 4x

Combine like terms: 7x + 4x = 11x
6 + 11x = 24 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 11x = 24 + 0
6 + 11x = 24

Add '-6' to each side of the equation.
6 + -6 + 11x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 24 + -6
11x = 24 + -6

Combine like terms: 24 + -6 = 18
11x = 18

Divide each side by '11'.
x = 1.636363636

Simplifying
x = 1.636363636

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