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

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


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

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

Reorder the terms:
-16 + 8x = 2(-10 + 3x)
-16 + 8x = (-10 * 2 + 3x * 2)
-16 + 8x = (-20 + 6x)

Solving
-16 + 8x = -20 + 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.
-16 + 8x + -6x = -20 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-16 + 2x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + 2x = -20 + 0
-16 + 2x = -20

Add '16' to each side of the equation.
-16 + 16 + 2x = -20 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -20 + 16
2x = -20 + 16

Combine like terms: -20 + 16 = -4
2x = -4

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

Simplifying
x = -2

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