4x+1=22-3x

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Solution for 4x+1=22-3x equation:


Simplifying
4x + 1 = 22 + -3x

Reorder the terms:
1 + 4x = 22 + -3x

Solving
1 + 4x = 22 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 4x + 3x = 22 + -3x + 3x

Combine like terms: 4x + 3x = 7x
1 + 7x = 22 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 7x = 22 + 0
1 + 7x = 22

Add '-1' to each side of the equation.
1 + -1 + 7x = 22 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 22 + -1
7x = 22 + -1

Combine like terms: 22 + -1 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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