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

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


Simplifying
-9 = 3(x + -7) + -1(2x + -3)

Reorder the terms:
-9 = 3(-7 + x) + -1(2x + -3)
-9 = (-7 * 3 + x * 3) + -1(2x + -3)
-9 = (-21 + 3x) + -1(2x + -3)

Reorder the terms:
-9 = -21 + 3x + -1(-3 + 2x)
-9 = -21 + 3x + (-3 * -1 + 2x * -1)
-9 = -21 + 3x + (3 + -2x)

Reorder the terms:
-9 = -21 + 3 + 3x + -2x

Combine like terms: -21 + 3 = -18
-9 = -18 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-9 = -18 + 1x

Solving
-9 = -18 + 1x

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.
-9 + -1x = -18 + 1x + -1x

Combine like terms: 1x + -1x = 0
-9 + -1x = -18 + 0
-9 + -1x = -18

Add '9' to each side of the equation.
-9 + 9 + -1x = -18 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -18 + 9
-1x = -18 + 9

Combine like terms: -18 + 9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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