2(6x-8)=3(x-10)

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Solution for 2(6x-8)=3(x-10) equation:


Simplifying
2(6x + -8) = 3(x + -10)

Reorder the terms:
2(-8 + 6x) = 3(x + -10)
(-8 * 2 + 6x * 2) = 3(x + -10)
(-16 + 12x) = 3(x + -10)

Reorder the terms:
-16 + 12x = 3(-10 + x)
-16 + 12x = (-10 * 3 + x * 3)
-16 + 12x = (-30 + 3x)

Solving
-16 + 12x = -30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + 12x + -3x = -30 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-16 + 9x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 9x = -30 + 0
-16 + 9x = -30

Add '16' to each side of the equation.
-16 + 16 + 9x = -30 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = -30 + 16
9x = -30 + 16

Combine like terms: -30 + 16 = -14
9x = -14

Divide each side by '9'.
x = -1.555555556

Simplifying
x = -1.555555556

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