5+2(x+3)=7-(x-7)

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Solution for 5+2(x+3)=7-(x-7) equation: 


Simplifying
5 + 2(x + 3) = 7 + -1(x + -7)

Reorder the terms:
5 + 2(3 + x) = 7 + -1(x + -7)
5 + (3 * 2 + x * 2) = 7 + -1(x + -7)
5 + (6 + 2x) = 7 + -1(x + -7)

Combine like terms: 5 + 6 = 11
11 + 2x = 7 + -1(x + -7)

Reorder the terms:
11 + 2x = 7 + -1(-7 + x)
11 + 2x = 7 + (-7 * -1 + x * -1)
11 + 2x = 7 + (7 + -1x)

Combine like terms: 7 + 7 = 14
11 + 2x = 14 + -1x

Solving
11 + 2x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
11 + 2x + x = 14 + -1x + x

Combine like terms: 2x + x = 3x
11 + 3x = 14 + -1x + x

Combine like terms: -1x + x = 0
11 + 3x = 14 + 0
11 + 3x = 14

Add '-11' to each side of the equation.
11 + -11 + 3x = 14 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 14 + -11
3x = 14 + -11

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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