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

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


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

Reorder the terms:
6(-8 + x) = (7(x + -3))
(-8 * 6 + x * 6) = (7(x + -3))
(-48 + 6x) = (7(x + -3))

Reorder the terms:
-48 + 6x = (7(-3 + x))
-48 + 6x = ((-3 * 7 + x * 7))
-48 + 6x = ((-21 + 7x))
-48 + 6x = (-21 + 7x)

Remove parenthesis around (-21 + 7x)
-48 + 6x = -21 + 7x

Solving
-48 + 6x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-48 + 6x + -7x = -21 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-48 + -1x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-48 + -1x = -21 + 0
-48 + -1x = -21

Add '48' to each side of the equation.
-48 + 48 + -1x = -21 + 48

Combine like terms: -48 + 48 = 0
0 + -1x = -21 + 48
-1x = -21 + 48

Combine like terms: -21 + 48 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

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