3x+(x+7)=17-2x

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Solution for 3x+(x+7)=17-2x equation:


Simplifying
3x + (x + 7) = 17 + -2x

Reorder the terms:
3x + (7 + x) = 17 + -2x

Remove parenthesis around (7 + x)
3x + 7 + x = 17 + -2x

Reorder the terms:
7 + 3x + x = 17 + -2x

Combine like terms: 3x + x = 4x
7 + 4x = 17 + -2x

Solving
7 + 4x = 17 + -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.
7 + 4x + 2x = 17 + -2x + 2x

Combine like terms: 4x + 2x = 6x
7 + 6x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 6x = 17 + 0
7 + 6x = 17

Add '-7' to each side of the equation.
7 + -7 + 6x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 17 + -7
6x = 17 + -7

Combine like terms: 17 + -7 = 10
6x = 10

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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