192=(2)(4)(x)+(8+2x)(4)

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Solution for 192=(2)(4)(x)+(8+2x)(4) equation:


Simplifying
192 = (2)(4)(x) + (8 + 2x)(4)

Multiply 2 * 4
192 = 8x + (8 + 2x)(4)

Reorder the terms for easier multiplication:
192 = 8x + 4(8 + 2x)
192 = 8x + (8 * 4 + 2x * 4)
192 = 8x + (32 + 8x)

Reorder the terms:
192 = 32 + 8x + 8x

Combine like terms: 8x + 8x = 16x
192 = 32 + 16x

Solving
192 = 32 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
192 + -16x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
192 + -16x = 32 + 0
192 + -16x = 32

Add '-192' to each side of the equation.
192 + -192 + -16x = 32 + -192

Combine like terms: 192 + -192 = 0
0 + -16x = 32 + -192
-16x = 32 + -192

Combine like terms: 32 + -192 = -160
-16x = -160

Divide each side by '-16'.
x = 10

Simplifying
x = 10

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