2[4x-7(x+2)]-5=21

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Solution for 2[4x-7(x+2)]-5=21 equation: 


Simplifying
2[4x + -7(x + 2)] + -5 = 21

Reorder the terms:
2[4x + -7(2 + x)] + -5 = 21
2[4x + (2 * -7 + x * -7)] + -5 = 21
2[4x + (-14 + -7x)] + -5 = 21

Reorder the terms:
2[-14 + 4x + -7x] + -5 = 21

Combine like terms: 4x + -7x = -3x
2[-14 + -3x] + -5 = 21
[-14 * 2 + -3x * 2] + -5 = 21
[-28 + -6x] + -5 = 21

Reorder the terms:
-28 + -5 + -6x = 21

Combine like terms: -28 + -5 = -33
-33 + -6x = 21

Solving
-33 + -6x = 21

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + -6x = 21 + 33

Combine like terms: -33 + 33 = 0
0 + -6x = 21 + 33
-6x = 21 + 33

Combine like terms: 21 + 33 = 54
-6x = 54

Divide each side by '-6'.
x = -9

Simplifying
x = -9

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