7+(6+x)=12-(3-2x)

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Solution for 7+(6+x)=12-(3-2x) equation: 


Simplifying
7 + (6 + x) = 12 + -1(3 + -2x)

Remove parenthesis around (6 + x)
7 + 6 + x = 12 + -1(3 + -2x)

Combine like terms: 7 + 6 = 13
13 + x = 12 + -1(3 + -2x)
13 + x = 12 + (3 * -1 + -2x * -1)
13 + x = 12 + (-3 + 2x)

Combine like terms: 12 + -3 = 9
13 + x = 9 + 2x

Solving
13 + x = 9 + 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.
13 + x + -2x = 9 + 2x + -2x

Combine like terms: x + -2x = -1x
13 + -1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -1x = 9 + 0
13 + -1x = 9

Add '-13' to each side of the equation.
13 + -13 + -1x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 9 + -13
-1x = 9 + -13

Combine like terms: 9 + -13 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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