x+(x+6)=15-(2x-3)

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Solution for x+(x+6)=15-(2x-3) equation:


Simplifying
x + (x + 6) = 15 + -1(2x + -3)

Reorder the terms:
x + (6 + x) = 15 + -1(2x + -3)

Remove parenthesis around (6 + x)
x + 6 + x = 15 + -1(2x + -3)

Reorder the terms:
6 + x + x = 15 + -1(2x + -3)

Combine like terms: x + x = 2x
6 + 2x = 15 + -1(2x + -3)

Reorder the terms:
6 + 2x = 15 + -1(-3 + 2x)
6 + 2x = 15 + (-3 * -1 + 2x * -1)
6 + 2x = 15 + (3 + -2x)

Combine like terms: 15 + 3 = 18
6 + 2x = 18 + -2x

Solving
6 + 2x = 18 + -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.
6 + 2x + 2x = 18 + -2x + 2x

Combine like terms: 2x + 2x = 4x
6 + 4x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 4x = 18 + 0
6 + 4x = 18

Add '-6' to each side of the equation.
6 + -6 + 4x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 18 + -6
4x = 18 + -6

Combine like terms: 18 + -6 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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