12-[5-(7-x)]=10

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Solution for 12-[5-(7-x)]=10 equation:


Simplifying
12 + -1[5 + -1(7 + -1x)] = 10
12 + -1[5 + (7 * -1 + -1x * -1)] = 10
12 + -1[5 + (-7 + 1x)] = 10

Combine like terms: 5 + -7 = -2
12 + -1[-2 + 1x] = 10
12 + [-2 * -1 + 1x * -1] = 10
12 + [2 + -1x] = 10

Combine like terms: 12 + 2 = 14
14 + -1x = 10

Solving
14 + -1x = 10

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 10 + -14
-1x = 10 + -14

Combine like terms: 10 + -14 = -4
-1x = -4

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

Simplifying
x = 4

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