2(x+1)+3(x+6)=5(x+4)

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Solution for 2(x+1)+3(x+6)=5(x+4) equation:


Simplifying
2(x + 1) + 3(x + 6) = 5(x + 4)

Reorder the terms:
2(1 + x) + 3(x + 6) = 5(x + 4)
(1 * 2 + x * 2) + 3(x + 6) = 5(x + 4)
(2 + 2x) + 3(x + 6) = 5(x + 4)

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

Reorder the terms:
2 + 18 + 2x + 3x = 5(x + 4)

Combine like terms: 2 + 18 = 20
20 + 2x + 3x = 5(x + 4)

Combine like terms: 2x + 3x = 5x
20 + 5x = 5(x + 4)

Reorder the terms:
20 + 5x = 5(4 + x)
20 + 5x = (4 * 5 + x * 5)
20 + 5x = (20 + 5x)

Add '-20' to each side of the equation.
20 + -20 + 5x = 20 + -20 + 5x

Combine like terms: 20 + -20 = 0
0 + 5x = 20 + -20 + 5x
5x = 20 + -20 + 5x

Combine like terms: 20 + -20 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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