3(x+5)=4(x+5)-(x+5)

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


Simplifying
3(x + 5) = 4(x + 5) + -1(x + 5)

Reorder the terms:
3(5 + x) = 4(x + 5) + -1(x + 5)
(5 * 3 + x * 3) = 4(x + 5) + -1(x + 5)
(15 + 3x) = 4(x + 5) + -1(x + 5)

Reorder the terms:
15 + 3x = 4(5 + x) + -1(x + 5)
15 + 3x = (5 * 4 + x * 4) + -1(x + 5)
15 + 3x = (20 + 4x) + -1(x + 5)

Reorder the terms:
15 + 3x = 20 + 4x + -1(5 + x)
15 + 3x = 20 + 4x + (5 * -1 + x * -1)
15 + 3x = 20 + 4x + (-5 + -1x)

Reorder the terms:
15 + 3x = 20 + -5 + 4x + -1x

Combine like terms: 20 + -5 = 15
15 + 3x = 15 + 4x + -1x

Combine like terms: 4x + -1x = 3x
15 + 3x = 15 + 3x

Add '-15' to each side of the equation.
15 + -15 + 3x = 15 + -15 + 3x

Combine like terms: 15 + -15 = 0
0 + 3x = 15 + -15 + 3x
3x = 15 + -15 + 3x

Combine like terms: 15 + -15 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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