4x+1=13-2x

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Solution for 4x+1=13-2x equation:


Simplifying
4x + 1 = 13 + -2x

Reorder the terms:
1 + 4x = 13 + -2x

Solving
1 + 4x = 13 + -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.
1 + 4x + 2x = 13 + -2x + 2x

Combine like terms: 4x + 2x = 6x
1 + 6x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 6x = 13 + 0
1 + 6x = 13

Add '-1' to each side of the equation.
1 + -1 + 6x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 13 + -1
6x = 13 + -1

Combine like terms: 13 + -1 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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