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

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


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

Reorder the terms:
8 + -9x + 8(-8 + x) = 3(x + -3)
8 + -9x + (-8 * 8 + x * 8) = 3(x + -3)
8 + -9x + (-64 + 8x) = 3(x + -3)

Reorder the terms:
8 + -64 + -9x + 8x = 3(x + -3)

Combine like terms: 8 + -64 = -56
-56 + -9x + 8x = 3(x + -3)

Combine like terms: -9x + 8x = -1x
-56 + -1x = 3(x + -3)

Reorder the terms:
-56 + -1x = 3(-3 + x)
-56 + -1x = (-3 * 3 + x * 3)
-56 + -1x = (-9 + 3x)

Solving
-56 + -1x = -9 + 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.
-56 + -1x + -3x = -9 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-56 + -4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-56 + -4x = -9 + 0
-56 + -4x = -9

Add '56' to each side of the equation.
-56 + 56 + -4x = -9 + 56

Combine like terms: -56 + 56 = 0
0 + -4x = -9 + 56
-4x = -9 + 56

Combine like terms: -9 + 56 = 47
-4x = 47

Divide each side by '-4'.
x = -11.75

Simplifying
x = -11.75

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