7x-(2x+7)=6x-36

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Solution for 7x-(2x+7)=6x-36 equation:


Simplifying
7x + -1(2x + 7) = 6x + -36

Reorder the terms:
7x + -1(7 + 2x) = 6x + -36
7x + (7 * -1 + 2x * -1) = 6x + -36
7x + (-7 + -2x) = 6x + -36

Reorder the terms:
-7 + 7x + -2x = 6x + -36

Combine like terms: 7x + -2x = 5x
-7 + 5x = 6x + -36

Reorder the terms:
-7 + 5x = -36 + 6x

Solving
-7 + 5x = -36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 5x + -6x = -36 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-7 + -1x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -1x = -36 + 0
-7 + -1x = -36

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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