4x+1=14-2x

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Solution for 4x+1=14-2x equation:


Simplifying
4x + 1 = 14 + -2x

Reorder the terms:
1 + 4x = 14 + -2x

Solving
1 + 4x = 14 + -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 = 14 + -2x + 2x

Combine like terms: 4x + 2x = 6x
1 + 6x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 6x = 14 + 0
1 + 6x = 14

Add '-1' to each side of the equation.
1 + -1 + 6x = 14 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 14 + -1
6x = 14 + -1

Combine like terms: 14 + -1 = 13
6x = 13

Divide each side by '6'.
x = 2.166666667

Simplifying
x = 2.166666667

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