6(6x-7)+5x=38+x

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Solution for 6(6x-7)+5x=38+x equation:


Simplifying
6(6x + -7) + 5x = 38 + x

Reorder the terms:
6(-7 + 6x) + 5x = 38 + x
(-7 * 6 + 6x * 6) + 5x = 38 + x
(-42 + 36x) + 5x = 38 + x

Combine like terms: 36x + 5x = 41x
-42 + 41x = 38 + x

Solving
-42 + 41x = 38 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-42 + 41x + -1x = 38 + x + -1x

Combine like terms: 41x + -1x = 40x
-42 + 40x = 38 + x + -1x

Combine like terms: x + -1x = 0
-42 + 40x = 38 + 0
-42 + 40x = 38

Add '42' to each side of the equation.
-42 + 42 + 40x = 38 + 42

Combine like terms: -42 + 42 = 0
0 + 40x = 38 + 42
40x = 38 + 42

Combine like terms: 38 + 42 = 80
40x = 80

Divide each side by '40'.
x = 2

Simplifying
x = 2

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