16(3x-8)=-8(6-4x)

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Solution for 16(3x-8)=-8(6-4x) equation:


Simplifying
16(3x + -8) = -8(6 + -4x)

Reorder the terms:
16(-8 + 3x) = -8(6 + -4x)
(-8 * 16 + 3x * 16) = -8(6 + -4x)
(-128 + 48x) = -8(6 + -4x)
-128 + 48x = (6 * -8 + -4x * -8)
-128 + 48x = (-48 + 32x)

Solving
-128 + 48x = -48 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-128 + 48x + -32x = -48 + 32x + -32x

Combine like terms: 48x + -32x = 16x
-128 + 16x = -48 + 32x + -32x

Combine like terms: 32x + -32x = 0
-128 + 16x = -48 + 0
-128 + 16x = -48

Add '128' to each side of the equation.
-128 + 128 + 16x = -48 + 128

Combine like terms: -128 + 128 = 0
0 + 16x = -48 + 128
16x = -48 + 128

Combine like terms: -48 + 128 = 80
16x = 80

Divide each side by '16'.
x = 5

Simplifying
x = 5

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