9-5(x+3)=3-8(2x-3)

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Solution for 9-5(x+3)=3-8(2x-3) equation:


Simplifying
9 + -5(x + 3) = 3 + -8(2x + -3)

Reorder the terms:
9 + -5(3 + x) = 3 + -8(2x + -3)
9 + (3 * -5 + x * -5) = 3 + -8(2x + -3)
9 + (-15 + -5x) = 3 + -8(2x + -3)

Combine like terms: 9 + -15 = -6
-6 + -5x = 3 + -8(2x + -3)

Reorder the terms:
-6 + -5x = 3 + -8(-3 + 2x)
-6 + -5x = 3 + (-3 * -8 + 2x * -8)
-6 + -5x = 3 + (24 + -16x)

Combine like terms: 3 + 24 = 27
-6 + -5x = 27 + -16x

Solving
-6 + -5x = 27 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-6 + -5x + 16x = 27 + -16x + 16x

Combine like terms: -5x + 16x = 11x
-6 + 11x = 27 + -16x + 16x

Combine like terms: -16x + 16x = 0
-6 + 11x = 27 + 0
-6 + 11x = 27

Add '6' to each side of the equation.
-6 + 6 + 11x = 27 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = 27 + 6
11x = 27 + 6

Combine like terms: 27 + 6 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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