3x+8(x-8)=3(x-16)

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Solution for 3x+8(x-8)=3(x-16) equation:


Simplifying
3x + 8(x + -8) = 3(x + -16)

Reorder the terms:
3x + 8(-8 + x) = 3(x + -16)
3x + (-8 * 8 + x * 8) = 3(x + -16)
3x + (-64 + 8x) = 3(x + -16)

Reorder the terms:
-64 + 3x + 8x = 3(x + -16)

Combine like terms: 3x + 8x = 11x
-64 + 11x = 3(x + -16)

Reorder the terms:
-64 + 11x = 3(-16 + x)
-64 + 11x = (-16 * 3 + x * 3)
-64 + 11x = (-48 + 3x)

Solving
-64 + 11x = -48 + 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.
-64 + 11x + -3x = -48 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-64 + 8x = -48 + 3x + -3x

Combine like terms: 3x + -3x = 0
-64 + 8x = -48 + 0
-64 + 8x = -48

Add '64' to each side of the equation.
-64 + 64 + 8x = -48 + 64

Combine like terms: -64 + 64 = 0
0 + 8x = -48 + 64
8x = -48 + 64

Combine like terms: -48 + 64 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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