8[2-(-7x-2)]=212x+162

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Solution for 8[2-(-7x-2)]=212x+162 equation:


Simplifying
8[2 + -1(-7x + -2)] = 212x + 162

Reorder the terms:
8[2 + -1(-2 + -7x)] = 212x + 162
8[2 + (-2 * -1 + -7x * -1)] = 212x + 162
8[2 + (2 + 7x)] = 212x + 162

Combine like terms: 2 + 2 = 4
8[4 + 7x] = 212x + 162
[4 * 8 + 7x * 8] = 212x + 162
[32 + 56x] = 212x + 162

Reorder the terms:
32 + 56x = 162 + 212x

Solving
32 + 56x = 162 + 212x

Solving for variable 'x'.

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

Add '-212x' to each side of the equation.
32 + 56x + -212x = 162 + 212x + -212x

Combine like terms: 56x + -212x = -156x
32 + -156x = 162 + 212x + -212x

Combine like terms: 212x + -212x = 0
32 + -156x = 162 + 0
32 + -156x = 162

Add '-32' to each side of the equation.
32 + -32 + -156x = 162 + -32

Combine like terms: 32 + -32 = 0
0 + -156x = 162 + -32
-156x = 162 + -32

Combine like terms: 162 + -32 = 130
-156x = 130

Divide each side by '-156'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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