3(x+7)=2x+1

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Solution for 3(x+7)=2x+1 equation:


Simplifying
3(x + 7) = 2x + 1

Reorder the terms:
3(7 + x) = 2x + 1
(7 * 3 + x * 3) = 2x + 1
(21 + 3x) = 2x + 1

Reorder the terms:
21 + 3x = 1 + 2x

Solving
21 + 3x = 1 + 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.
21 + 3x + -2x = 1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
21 + 1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 1x = 1 + 0
21 + 1x = 1

Add '-21' to each side of the equation.
21 + -21 + 1x = 1 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 1 + -21
1x = 1 + -21

Combine like terms: 1 + -21 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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