8(4x-1)-12x=11(2x-6)

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Solution for 8(4x-1)-12x=11(2x-6) equation:


Simplifying
8(4x + -1) + -12x = 11(2x + -6)

Reorder the terms:
8(-1 + 4x) + -12x = 11(2x + -6)
(-1 * 8 + 4x * 8) + -12x = 11(2x + -6)
(-8 + 32x) + -12x = 11(2x + -6)

Combine like terms: 32x + -12x = 20x
-8 + 20x = 11(2x + -6)

Reorder the terms:
-8 + 20x = 11(-6 + 2x)
-8 + 20x = (-6 * 11 + 2x * 11)
-8 + 20x = (-66 + 22x)

Solving
-8 + 20x = -66 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-8 + 20x + -22x = -66 + 22x + -22x

Combine like terms: 20x + -22x = -2x
-8 + -2x = -66 + 22x + -22x

Combine like terms: 22x + -22x = 0
-8 + -2x = -66 + 0
-8 + -2x = -66

Add '8' to each side of the equation.
-8 + 8 + -2x = -66 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -66 + 8
-2x = -66 + 8

Combine like terms: -66 + 8 = -58
-2x = -58

Divide each side by '-2'.
x = 29

Simplifying
x = 29

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