(2x+6)-1(3x-1)=36

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Solution for (2x+6)-1(3x-1)=36 equation:


Simplifying
(2x + 6) + -1(3x + -1) = 36

Reorder the terms:
(6 + 2x) + -1(3x + -1) = 36

Remove parenthesis around (6 + 2x)
6 + 2x + -1(3x + -1) = 36

Reorder the terms:
6 + 2x + -1(-1 + 3x) = 36
6 + 2x + (-1 * -1 + 3x * -1) = 36
6 + 2x + (1 + -3x) = 36

Reorder the terms:
6 + 1 + 2x + -3x = 36

Combine like terms: 6 + 1 = 7
7 + 2x + -3x = 36

Combine like terms: 2x + -3x = -1x
7 + -1x = 36

Solving
7 + -1x = 36

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 36 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 36 + -7
-1x = 36 + -7

Combine like terms: 36 + -7 = 29
-1x = 29

Divide each side by '-1'.
x = -29

Simplifying
x = -29

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