5-6[57-7(7x-8)]=12+7x

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Solution for 5-6[57-7(7x-8)]=12+7x equation:


Simplifying
5 + -6[57 + -7(7x + -8)] = 12 + 7x

Reorder the terms:
5 + -6[57 + -7(-8 + 7x)] = 12 + 7x
5 + -6[57 + (-8 * -7 + 7x * -7)] = 12 + 7x
5 + -6[57 + (56 + -49x)] = 12 + 7x

Combine like terms: 57 + 56 = 113
5 + -6[113 + -49x] = 12 + 7x
5 + [113 * -6 + -49x * -6] = 12 + 7x
5 + [-678 + 294x] = 12 + 7x

Combine like terms: 5 + -678 = -673
-673 + 294x = 12 + 7x

Solving
-673 + 294x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-673 + 294x + -7x = 12 + 7x + -7x

Combine like terms: 294x + -7x = 287x
-673 + 287x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
-673 + 287x = 12 + 0
-673 + 287x = 12

Add '673' to each side of the equation.
-673 + 673 + 287x = 12 + 673

Combine like terms: -673 + 673 = 0
0 + 287x = 12 + 673
287x = 12 + 673

Combine like terms: 12 + 673 = 685
287x = 685

Divide each side by '287'.
x = 2.386759582

Simplifying
x = 2.386759582

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