3(x+4)+x=6x+24

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Solution for 3(x+4)+x=6x+24 equation:


Simplifying
3(x + 4) + x = 6x + 24

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

Combine like terms: 3x + x = 4x
12 + 4x = 6x + 24

Reorder the terms:
12 + 4x = 24 + 6x

Solving
12 + 4x = 24 + 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.
12 + 4x + -6x = 24 + 6x + -6x

Combine like terms: 4x + -6x = -2x
12 + -2x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -2x = 24 + 0
12 + -2x = 24

Add '-12' to each side of the equation.
12 + -12 + -2x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 24 + -12
-2x = 24 + -12

Combine like terms: 24 + -12 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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