9(x-4)-7x=(3x-2)

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Solution for 9(x-4)-7x=(3x-2) equation:


Simplifying
9(x + -4) + -7x = (3x + -2)

Reorder the terms:
9(-4 + x) + -7x = (3x + -2)
(-4 * 9 + x * 9) + -7x = (3x + -2)
(-36 + 9x) + -7x = (3x + -2)

Combine like terms: 9x + -7x = 2x
-36 + 2x = (3x + -2)

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

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

Solving
-36 + 2x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 2x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-36 + -1x = -2 + 0
-36 + -1x = -2

Add '36' to each side of the equation.
-36 + 36 + -1x = -2 + 36

Combine like terms: -36 + 36 = 0
0 + -1x = -2 + 36
-1x = -2 + 36

Combine like terms: -2 + 36 = 34
-1x = 34

Divide each side by '-1'.
x = -34

Simplifying
x = -34

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