8(2x-3)=9(x-4)+8

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Solution for 8(2x-3)=9(x-4)+8 equation:


Simplifying
8(2x + -3) = 9(x + -4) + 8

Reorder the terms:
8(-3 + 2x) = 9(x + -4) + 8
(-3 * 8 + 2x * 8) = 9(x + -4) + 8
(-24 + 16x) = 9(x + -4) + 8

Reorder the terms:
-24 + 16x = 9(-4 + x) + 8
-24 + 16x = (-4 * 9 + x * 9) + 8
-24 + 16x = (-36 + 9x) + 8

Reorder the terms:
-24 + 16x = -36 + 8 + 9x

Combine like terms: -36 + 8 = -28
-24 + 16x = -28 + 9x

Solving
-24 + 16x = -28 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-24 + 16x + -9x = -28 + 9x + -9x

Combine like terms: 16x + -9x = 7x
-24 + 7x = -28 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + 7x = -28 + 0
-24 + 7x = -28

Add '24' to each side of the equation.
-24 + 24 + 7x = -28 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = -28 + 24
7x = -28 + 24

Combine like terms: -28 + 24 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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