3x+5+8=4x+1+x

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Solution for 3x+5+8=4x+1+x equation:


Simplifying
3x + 5 + 8 = 4x + 1 + x

Reorder the terms:
5 + 8 + 3x = 4x + 1 + x

Combine like terms: 5 + 8 = 13
13 + 3x = 4x + 1 + x

Reorder the terms:
13 + 3x = 1 + 4x + x

Combine like terms: 4x + x = 5x
13 + 3x = 1 + 5x

Solving
13 + 3x = 1 + 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.
13 + 3x + -5x = 1 + 5x + -5x

Combine like terms: 3x + -5x = -2x
13 + -2x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -2x = 1 + 0
13 + -2x = 1

Add '-13' to each side of the equation.
13 + -13 + -2x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 1 + -13
-2x = 1 + -13

Combine like terms: 1 + -13 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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