2[7-(-7x-6)]=84x+86

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Solution for 2[7-(-7x-6)]=84x+86 equation:


Simplifying
2[7 + -1(-7x + -6)] = 84x + 86

Reorder the terms:
2[7 + -1(-6 + -7x)] = 84x + 86
2[7 + (-6 * -1 + -7x * -1)] = 84x + 86
2[7 + (6 + 7x)] = 84x + 86

Combine like terms: 7 + 6 = 13
2[13 + 7x] = 84x + 86
[13 * 2 + 7x * 2] = 84x + 86
[26 + 14x] = 84x + 86

Reorder the terms:
26 + 14x = 86 + 84x

Solving
26 + 14x = 86 + 84x

Solving for variable 'x'.

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

Add '-84x' to each side of the equation.
26 + 14x + -84x = 86 + 84x + -84x

Combine like terms: 14x + -84x = -70x
26 + -70x = 86 + 84x + -84x

Combine like terms: 84x + -84x = 0
26 + -70x = 86 + 0
26 + -70x = 86

Add '-26' to each side of the equation.
26 + -26 + -70x = 86 + -26

Combine like terms: 26 + -26 = 0
0 + -70x = 86 + -26
-70x = 86 + -26

Combine like terms: 86 + -26 = 60
-70x = 60

Divide each side by '-70'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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