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

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


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

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

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

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

Reorder the terms:
-20 + 32x = 11(-6 + 2x)
-20 + 32x = (-6 * 11 + 2x * 11)
-20 + 32x = (-66 + 22x)

Solving
-20 + 32x = -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.
-20 + 32x + -22x = -66 + 22x + -22x

Combine like terms: 32x + -22x = 10x
-20 + 10x = -66 + 22x + -22x

Combine like terms: 22x + -22x = 0
-20 + 10x = -66 + 0
-20 + 10x = -66

Add '20' to each side of the equation.
-20 + 20 + 10x = -66 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = -66 + 20
10x = -66 + 20

Combine like terms: -66 + 20 = -46
10x = -46

Divide each side by '10'.
x = -4.6

Simplifying
x = -4.6

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