4x-9+2x-6-7x=6x-36

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Solution for 4x-9+2x-6-7x=6x-36 equation:


Simplifying
4x + -9 + 2x + -6 + -7x = 6x + -36

Reorder the terms:
-9 + -6 + 4x + 2x + -7x = 6x + -36

Combine like terms: -9 + -6 = -15
-15 + 4x + 2x + -7x = 6x + -36

Combine like terms: 4x + 2x = 6x
-15 + 6x + -7x = 6x + -36

Combine like terms: 6x + -7x = -1x
-15 + -1x = 6x + -36

Reorder the terms:
-15 + -1x = -36 + 6x

Solving
-15 + -1x = -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.
-15 + -1x + -6x = -36 + 6x + -6x

Combine like terms: -1x + -6x = -7x
-15 + -7x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -7x = -36 + 0
-15 + -7x = -36

Add '15' to each side of the equation.
-15 + 15 + -7x = -36 + 15

Combine like terms: -15 + 15 = 0
0 + -7x = -36 + 15
-7x = -36 + 15

Combine like terms: -36 + 15 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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