5+(x-3)=7-(2x-8)

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Solution for 5+(x-3)=7-(2x-8) equation:


Simplifying
5 + (x + -3) = 7 + -1(2x + -8)

Reorder the terms:
5 + (-3 + x) = 7 + -1(2x + -8)

Remove parenthesis around (-3 + x)
5 + -3 + x = 7 + -1(2x + -8)

Combine like terms: 5 + -3 = 2
2 + x = 7 + -1(2x + -8)

Reorder the terms:
2 + x = 7 + -1(-8 + 2x)
2 + x = 7 + (-8 * -1 + 2x * -1)
2 + x = 7 + (8 + -2x)

Combine like terms: 7 + 8 = 15
2 + x = 15 + -2x

Solving
2 + x = 15 + -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.
2 + x + 2x = 15 + -2x + 2x

Combine like terms: x + 2x = 3x
2 + 3x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 3x = 15 + 0
2 + 3x = 15

Add '-2' to each side of the equation.
2 + -2 + 3x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 15 + -2
3x = 15 + -2

Combine like terms: 15 + -2 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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