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

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


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

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

Combine like terms: 6x + x = 7x
24 + 7x = 3(x + 4) + 6

Reorder the terms:
24 + 7x = 3(4 + x) + 6
24 + 7x = (4 * 3 + x * 3) + 6
24 + 7x = (12 + 3x) + 6

Reorder the terms:
24 + 7x = 12 + 6 + 3x

Combine like terms: 12 + 6 = 18
24 + 7x = 18 + 3x

Solving
24 + 7x = 18 + 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.
24 + 7x + -3x = 18 + 3x + -3x

Combine like terms: 7x + -3x = 4x
24 + 4x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 4x = 18 + 0
24 + 4x = 18

Add '-24' to each side of the equation.
24 + -24 + 4x = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 18 + -24
4x = 18 + -24

Combine like terms: 18 + -24 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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