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

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


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

Reorder the terms:
6(-2 + x) = 8(x + -9)
(-2 * 6 + x * 6) = 8(x + -9)
(-12 + 6x) = 8(x + -9)

Reorder the terms:
-12 + 6x = 8(-9 + x)
-12 + 6x = (-9 * 8 + x * 8)
-12 + 6x = (-72 + 8x)

Solving
-12 + 6x = -72 + 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.
-12 + 6x + -8x = -72 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-12 + -2x = -72 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -2x = -72 + 0
-12 + -2x = -72

Add '12' to each side of the equation.
-12 + 12 + -2x = -72 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -72 + 12
-2x = -72 + 12

Combine like terms: -72 + 12 = -60
-2x = -60

Divide each side by '-2'.
x = 30

Simplifying
x = 30

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