x+x+x+x+5=x+x+1

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Solution for x+x+x+x+5=x+x+1 equation:


Simplifying
x + x + x + x + 5 = x + x + 1

Reorder the terms:
5 + x + x + x + x = x + x + 1

Combine like terms: x + x = 2x
5 + 2x + x + x = x + x + 1

Combine like terms: 2x + x = 3x
5 + 3x + x = x + x + 1

Combine like terms: 3x + x = 4x
5 + 4x = x + x + 1

Reorder the terms:
5 + 4x = 1 + x + x

Combine like terms: x + x = 2x
5 + 4x = 1 + 2x

Solving
5 + 4x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 4x + -2x = 1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
5 + 2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 2x = 1 + 0
5 + 2x = 1

Add '-5' to each side of the equation.
5 + -5 + 2x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 1 + -5
2x = 1 + -5

Combine like terms: 1 + -5 = -4
2x = -4

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

Simplifying
x = -2

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