8(x-8)=9(4x-7)

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Solution for 8(x-8)=9(4x-7) equation:


Simplifying
8(x + -8) = 9(4x + -7)

Reorder the terms:
8(-8 + x) = 9(4x + -7)
(-8 * 8 + x * 8) = 9(4x + -7)
(-64 + 8x) = 9(4x + -7)

Reorder the terms:
-64 + 8x = 9(-7 + 4x)
-64 + 8x = (-7 * 9 + 4x * 9)
-64 + 8x = (-63 + 36x)

Solving
-64 + 8x = -63 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-64 + 8x + -36x = -63 + 36x + -36x

Combine like terms: 8x + -36x = -28x
-64 + -28x = -63 + 36x + -36x

Combine like terms: 36x + -36x = 0
-64 + -28x = -63 + 0
-64 + -28x = -63

Add '64' to each side of the equation.
-64 + 64 + -28x = -63 + 64

Combine like terms: -64 + 64 = 0
0 + -28x = -63 + 64
-28x = -63 + 64

Combine like terms: -63 + 64 = 1
-28x = 1

Divide each side by '-28'.
x = -0.03571428571

Simplifying
x = -0.03571428571

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