7(3x-8)=2(6x-1)

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Solution for 7(3x-8)=2(6x-1) equation:


Simplifying
7(3x + -8) = 2(6x + -1)

Reorder the terms:
7(-8 + 3x) = 2(6x + -1)
(-8 * 7 + 3x * 7) = 2(6x + -1)
(-56 + 21x) = 2(6x + -1)

Reorder the terms:
-56 + 21x = 2(-1 + 6x)
-56 + 21x = (-1 * 2 + 6x * 2)
-56 + 21x = (-2 + 12x)

Solving
-56 + 21x = -2 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-56 + 21x + -12x = -2 + 12x + -12x

Combine like terms: 21x + -12x = 9x
-56 + 9x = -2 + 12x + -12x

Combine like terms: 12x + -12x = 0
-56 + 9x = -2 + 0
-56 + 9x = -2

Add '56' to each side of the equation.
-56 + 56 + 9x = -2 + 56

Combine like terms: -56 + 56 = 0
0 + 9x = -2 + 56
9x = -2 + 56

Combine like terms: -2 + 56 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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