x+3x+5=x+4x+2

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Solution for x+3x+5=x+4x+2 equation:


Simplifying
x + 3x + 5 = x + 4x + 2

Reorder the terms:
5 + x + 3x = x + 4x + 2

Combine like terms: x + 3x = 4x
5 + 4x = x + 4x + 2

Reorder the terms:
5 + 4x = 2 + x + 4x

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

Solving
5 + 4x = 2 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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