8(x-1)=6(x-3)

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Solution for 8(x-1)=6(x-3) equation:


Simplifying
8(x + -1) = 6(x + -3)

Reorder the terms:
8(-1 + x) = 6(x + -3)
(-1 * 8 + x * 8) = 6(x + -3)
(-8 + 8x) = 6(x + -3)

Reorder the terms:
-8 + 8x = 6(-3 + x)
-8 + 8x = (-3 * 6 + x * 6)
-8 + 8x = (-18 + 6x)

Solving
-8 + 8x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 8x + -6x = -18 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-8 + 2x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + 2x = -18 + 0
-8 + 2x = -18

Add '8' to each side of the equation.
-8 + 8 + 2x = -18 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -18 + 8
2x = -18 + 8

Combine like terms: -18 + 8 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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