(6x-5)-6=7(x+3)

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Solution for (6x-5)-6=7(x+3) equation:


Simplifying
(6x + -5) + -6 = 7(x + 3)

Reorder the terms:
(-5 + 6x) + -6 = 7(x + 3)

Remove parenthesis around (-5 + 6x)
-5 + 6x + -6 = 7(x + 3)

Reorder the terms:
-5 + -6 + 6x = 7(x + 3)

Combine like terms: -5 + -6 = -11
-11 + 6x = 7(x + 3)

Reorder the terms:
-11 + 6x = 7(3 + x)
-11 + 6x = (3 * 7 + x * 7)
-11 + 6x = (21 + 7x)

Solving
-11 + 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.
-11 + 6x + -7x = 21 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-11 + -1x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -1x = 21 + 0
-11 + -1x = 21

Add '11' to each side of the equation.
-11 + 11 + -1x = 21 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 21 + 11
-1x = 21 + 11

Combine like terms: 21 + 11 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32

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