3x+8(x-5)=3(x-8)

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Solution for 3x+8(x-5)=3(x-8) equation:


Simplifying
3x + 8(x + -5) = 3(x + -8)

Reorder the terms:
3x + 8(-5 + x) = 3(x + -8)
3x + (-5 * 8 + x * 8) = 3(x + -8)
3x + (-40 + 8x) = 3(x + -8)

Reorder the terms:
-40 + 3x + 8x = 3(x + -8)

Combine like terms: 3x + 8x = 11x
-40 + 11x = 3(x + -8)

Reorder the terms:
-40 + 11x = 3(-8 + x)
-40 + 11x = (-8 * 3 + x * 3)
-40 + 11x = (-24 + 3x)

Solving
-40 + 11x = -24 + 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.
-40 + 11x + -3x = -24 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-40 + 8x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 8x = -24 + 0
-40 + 8x = -24

Add '40' to each side of the equation.
-40 + 40 + 8x = -24 + 40

Combine like terms: -40 + 40 = 0
0 + 8x = -24 + 40
8x = -24 + 40

Combine like terms: -24 + 40 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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