2[7(x+3)-8]=84

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Solution for 2[7(x+3)-8]=84 equation:


Simplifying
2[7(x + 3) + -8] = 84

Reorder the terms:
2[7(3 + x) + -8] = 84
2[(3 * 7 + x * 7) + -8] = 84
2[(21 + 7x) + -8] = 84

Reorder the terms:
2[21 + -8 + 7x] = 84

Combine like terms: 21 + -8 = 13
2[13 + 7x] = 84
[13 * 2 + 7x * 2] = 84
[26 + 14x] = 84

Solving
26 + 14x = 84

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 14x = 84 + -26

Combine like terms: 26 + -26 = 0
0 + 14x = 84 + -26
14x = 84 + -26

Combine like terms: 84 + -26 = 58
14x = 58

Divide each side by '14'.
x = 4.142857143

Simplifying
x = 4.142857143

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