(x+3)=7x+2

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


Simplifying
(x + 3) = 7x + 2

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

Remove parenthesis around (3 + x)
3 + x = 7x + 2

Reorder the terms:
3 + x = 2 + 7x

Solving
3 + x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + x + -7x = 2 + 7x + -7x

Combine like terms: x + -7x = -6x
3 + -6x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -6x = 2 + 0
3 + -6x = 2

Add '-3' to each side of the equation.
3 + -3 + -6x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 2 + -3
-6x = 2 + -3

Combine like terms: 2 + -3 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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