6(x-1)+2=8(x-9)

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Solution for 6(x-1)+2=8(x-9) equation:


Simplifying
6(x + -1) + 2 = 8(x + -9)

Reorder the terms:
6(-1 + x) + 2 = 8(x + -9)
(-1 * 6 + x * 6) + 2 = 8(x + -9)
(-6 + 6x) + 2 = 8(x + -9)

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

Combine like terms: -6 + 2 = -4
-4 + 6x = 8(x + -9)

Reorder the terms:
-4 + 6x = 8(-9 + x)
-4 + 6x = (-9 * 8 + x * 8)
-4 + 6x = (-72 + 8x)

Solving
-4 + 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.
-4 + 6x + -8x = -72 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-4 + -2x = -72 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -2x = -72 + 0
-4 + -2x = -72

Add '4' to each side of the equation.
-4 + 4 + -2x = -72 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -72 + 4
-2x = -72 + 4

Combine like terms: -72 + 4 = -68
-2x = -68

Divide each side by '-2'.
x = 34

Simplifying
x = 34

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