2[5-(x-12)]=x-14

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Solution for 2[5-(x-12)]=x-14 equation:


Simplifying
2[5 + -1(x + -12)] = x + -14

Reorder the terms:
2[5 + -1(-12 + x)] = x + -14
2[5 + (-12 * -1 + x * -1)] = x + -14
2[5 + (12 + -1x)] = x + -14

Combine like terms: 5 + 12 = 17
2[17 + -1x] = x + -14
[17 * 2 + -1x * 2] = x + -14
[34 + -2x] = x + -14

Reorder the terms:
34 + -2x = -14 + x

Solving
34 + -2x = -14 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
34 + -2x + -1x = -14 + x + -1x

Combine like terms: -2x + -1x = -3x
34 + -3x = -14 + x + -1x

Combine like terms: x + -1x = 0
34 + -3x = -14 + 0
34 + -3x = -14

Add '-34' to each side of the equation.
34 + -34 + -3x = -14 + -34

Combine like terms: 34 + -34 = 0
0 + -3x = -14 + -34
-3x = -14 + -34

Combine like terms: -14 + -34 = -48
-3x = -48

Divide each side by '-3'.
x = 16

Simplifying
x = 16

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