9x-5=-2(x-3)

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Solution for 9x-5=-2(x-3) equation:


Simplifying
9x + -5 = -2(x + -3)

Reorder the terms:
-5 + 9x = -2(x + -3)

Reorder the terms:
-5 + 9x = -2(-3 + x)
-5 + 9x = (-3 * -2 + x * -2)
-5 + 9x = (6 + -2x)

Solving
-5 + 9x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 9x + 2x = 6 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-5 + 11x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 11x = 6 + 0
-5 + 11x = 6

Add '5' to each side of the equation.
-5 + 5 + 11x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 6 + 5
11x = 6 + 5

Combine like terms: 6 + 5 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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