8(4x-5)=9(2x-6)

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Solution for 8(4x-5)=9(2x-6) equation:


Simplifying
8(4x + -5) = 9(2x + -6)

Reorder the terms:
8(-5 + 4x) = 9(2x + -6)
(-5 * 8 + 4x * 8) = 9(2x + -6)
(-40 + 32x) = 9(2x + -6)

Reorder the terms:
-40 + 32x = 9(-6 + 2x)
-40 + 32x = (-6 * 9 + 2x * 9)
-40 + 32x = (-54 + 18x)

Solving
-40 + 32x = -54 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-40 + 32x + -18x = -54 + 18x + -18x

Combine like terms: 32x + -18x = 14x
-40 + 14x = -54 + 18x + -18x

Combine like terms: 18x + -18x = 0
-40 + 14x = -54 + 0
-40 + 14x = -54

Add '40' to each side of the equation.
-40 + 40 + 14x = -54 + 40

Combine like terms: -40 + 40 = 0
0 + 14x = -54 + 40
14x = -54 + 40

Combine like terms: -54 + 40 = -14
14x = -14

Divide each side by '14'.
x = -1

Simplifying
x = -1

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