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

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


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

Reorder the terms:
7(-9 + x) = 8(x + -1)
(-9 * 7 + x * 7) = 8(x + -1)
(-63 + 7x) = 8(x + -1)

Reorder the terms:
-63 + 7x = 8(-1 + x)
-63 + 7x = (-1 * 8 + x * 8)
-63 + 7x = (-8 + 8x)

Solving
-63 + 7x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-63 + 7x + -8x = -8 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-63 + -1x = -8 + 8x + -8x

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

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

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

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

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

Simplifying
x = -55

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