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

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


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

Reorder the terms:
2x + 8(-3 + x) = 2(x + -8)
2x + (-3 * 8 + x * 8) = 2(x + -8)
2x + (-24 + 8x) = 2(x + -8)

Reorder the terms:
-24 + 2x + 8x = 2(x + -8)

Combine like terms: 2x + 8x = 10x
-24 + 10x = 2(x + -8)

Reorder the terms:
-24 + 10x = 2(-8 + x)
-24 + 10x = (-8 * 2 + x * 2)
-24 + 10x = (-16 + 2x)

Solving
-24 + 10x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-24 + 10x + -2x = -16 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-24 + 8x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 8x = -16 + 0
-24 + 8x = -16

Add '24' to each side of the equation.
-24 + 24 + 8x = -16 + 24

Combine like terms: -24 + 24 = 0
0 + 8x = -16 + 24
8x = -16 + 24

Combine like terms: -16 + 24 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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