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

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Solution for 2(x+6)=5x+3(x+4) equation:


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

Reorder the terms:
2(6 + x) = 5x + 3(x + 4)
(6 * 2 + x * 2) = 5x + 3(x + 4)
(12 + 2x) = 5x + 3(x + 4)

Reorder the terms:
12 + 2x = 5x + 3(4 + x)
12 + 2x = 5x + (4 * 3 + x * 3)
12 + 2x = 5x + (12 + 3x)

Reorder the terms:
12 + 2x = 12 + 5x + 3x

Combine like terms: 5x + 3x = 8x
12 + 2x = 12 + 8x

Add '-12' to each side of the equation.
12 + -12 + 2x = 12 + -12 + 8x

Combine like terms: 12 + -12 = 0
0 + 2x = 12 + -12 + 8x
2x = 12 + -12 + 8x

Combine like terms: 12 + -12 = 0
2x = 0 + 8x
2x = 8x

Solving
2x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2x + -8x = 8x + -8x

Combine like terms: 2x + -8x = -6x
-6x = 8x + -8x

Combine like terms: 8x + -8x = 0
-6x = 0

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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