3(x+6)+4(x+14)+5(x-10)=12(x+2)

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Solution for 3(x+6)+4(x+14)+5(x-10)=12(x+2) equation:


Simplifying
3(x + 6) + 4(x + 14) + 5(x + -10) = 12(x + 2)

Reorder the terms:
3(6 + x) + 4(x + 14) + 5(x + -10) = 12(x + 2)
(6 * 3 + x * 3) + 4(x + 14) + 5(x + -10) = 12(x + 2)
(18 + 3x) + 4(x + 14) + 5(x + -10) = 12(x + 2)

Reorder the terms:
18 + 3x + 4(14 + x) + 5(x + -10) = 12(x + 2)
18 + 3x + (14 * 4 + x * 4) + 5(x + -10) = 12(x + 2)
18 + 3x + (56 + 4x) + 5(x + -10) = 12(x + 2)

Reorder the terms:
18 + 3x + 56 + 4x + 5(-10 + x) = 12(x + 2)
18 + 3x + 56 + 4x + (-10 * 5 + x * 5) = 12(x + 2)
18 + 3x + 56 + 4x + (-50 + 5x) = 12(x + 2)

Reorder the terms:
18 + 56 + -50 + 3x + 4x + 5x = 12(x + 2)

Combine like terms: 18 + 56 = 74
74 + -50 + 3x + 4x + 5x = 12(x + 2)

Combine like terms: 74 + -50 = 24
24 + 3x + 4x + 5x = 12(x + 2)

Combine like terms: 3x + 4x = 7x
24 + 7x + 5x = 12(x + 2)

Combine like terms: 7x + 5x = 12x
24 + 12x = 12(x + 2)

Reorder the terms:
24 + 12x = 12(2 + x)
24 + 12x = (2 * 12 + x * 12)
24 + 12x = (24 + 12x)

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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