7+(4+x)=3-(2x-14)

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Solution for 7+(4+x)=3-(2x-14) equation:


Simplifying
7 + (4 + x) = 3 + -1(2x + -14)

Remove parenthesis around (4 + x)
7 + 4 + x = 3 + -1(2x + -14)

Combine like terms: 7 + 4 = 11
11 + x = 3 + -1(2x + -14)

Reorder the terms:
11 + x = 3 + -1(-14 + 2x)
11 + x = 3 + (-14 * -1 + 2x * -1)
11 + x = 3 + (14 + -2x)

Combine like terms: 3 + 14 = 17
11 + x = 17 + -2x

Solving
11 + x = 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.
11 + x + 2x = 17 + -2x + 2x

Combine like terms: x + 2x = 3x
11 + 3x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 3x = 17 + 0
11 + 3x = 17

Add '-11' to each side of the equation.
11 + -11 + 3x = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 17 + -11
3x = 17 + -11

Combine like terms: 17 + -11 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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