27-4[8x-6+7]=2[4-6+2x]-3

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Solution for 27-4[8x-6+7]=2[4-6+2x]-3 equation:


Simplifying
27 + -4[8x + -6 + 7] = 2[4 + -6 + 2x] + -3

Reorder the terms:
27 + -4[-6 + 7 + 8x] = 2[4 + -6 + 2x] + -3

Combine like terms: -6 + 7 = 1
27 + -4[1 + 8x] = 2[4 + -6 + 2x] + -3
27 + [1 * -4 + 8x * -4] = 2[4 + -6 + 2x] + -3
27 + [-4 + -32x] = 2[4 + -6 + 2x] + -3

Combine like terms: 27 + -4 = 23
23 + -32x = 2[4 + -6 + 2x] + -3

Combine like terms: 4 + -6 = -2
23 + -32x = 2[-2 + 2x] + -3
23 + -32x = [-2 * 2 + 2x * 2] + -3
23 + -32x = [-4 + 4x] + -3

Reorder the terms:
23 + -32x = -4 + -3 + 4x

Combine like terms: -4 + -3 = -7
23 + -32x = -7 + 4x

Solving
23 + -32x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
23 + -32x + -4x = -7 + 4x + -4x

Combine like terms: -32x + -4x = -36x
23 + -36x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + -36x = -7 + 0
23 + -36x = -7

Add '-23' to each side of the equation.
23 + -23 + -36x = -7 + -23

Combine like terms: 23 + -23 = 0
0 + -36x = -7 + -23
-36x = -7 + -23

Combine like terms: -7 + -23 = -30
-36x = -30

Divide each side by '-36'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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