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)

Remove parenthesis around (-8 + x)
6 + -8 + x = 7(x + -3)

Combine like terms: 6 + -8 = -2
-2 + x = 7(x + -3)

Reorder the terms:
-2 + x = 7(-3 + x)
-2 + x = (-3 * 7 + x * 7)
-2 + x = (-21 + 7x)

Solving
-2 + x = -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.
-2 + x + -7x = -21 + 7x + -7x

Combine like terms: x + -7x = -6x
-2 + -6x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -6x = -21 + 0
-2 + -6x = -21

Add '2' to each side of the equation.
-2 + 2 + -6x = -21 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = -21 + 2
-6x = -21 + 2

Combine like terms: -21 + 2 = -19
-6x = -19

Divide each side by '-6'.
x = 3.166666667

Simplifying
x = 3.166666667

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