8(x-1)=9(x-7)

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Solution for 8(x-1)=9(x-7) equation:


Simplifying
8(x + -1) = 9(x + -7)

Reorder the terms:
8(-1 + x) = 9(x + -7)
(-1 * 8 + x * 8) = 9(x + -7)
(-8 + 8x) = 9(x + -7)

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

Solving
-8 + 8x = -63 + 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.
-8 + 8x + -9x = -63 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-8 + -1x = -63 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -1x = -63 + 0
-8 + -1x = -63

Add '8' to each side of the equation.
-8 + 8 + -1x = -63 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -63 + 8
-1x = -63 + 8

Combine like terms: -63 + 8 = -55
-1x = -55

Divide each side by '-1'.
x = 55

Simplifying
x = 55

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