3x+17=164-4x

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Solution for 3x+17=164-4x equation:


Simplifying
3x + 17 = 164 + -4x

Reorder the terms:
17 + 3x = 164 + -4x

Solving
17 + 3x = 164 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
17 + 3x + 4x = 164 + -4x + 4x

Combine like terms: 3x + 4x = 7x
17 + 7x = 164 + -4x + 4x

Combine like terms: -4x + 4x = 0
17 + 7x = 164 + 0
17 + 7x = 164

Add '-17' to each side of the equation.
17 + -17 + 7x = 164 + -17

Combine like terms: 17 + -17 = 0
0 + 7x = 164 + -17
7x = 164 + -17

Combine like terms: 164 + -17 = 147
7x = 147

Divide each side by '7'.
x = 21

Simplifying
x = 21

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