(4x+2)(8)=9(4x)

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Solution for (4x+2)(8)=9(4x) equation:


Simplifying
(4x + 2)(8) = 9(4x)

Reorder the terms:
(2 + 4x)(8) = 9(4x)

Reorder the terms for easier multiplication:
8(2 + 4x) = 9(4x)
(2 * 8 + 4x * 8) = 9(4x)
(16 + 32x) = 9(4x)

Remove parenthesis around (4x)
16 + 32x = 9 * 4x

Multiply 9 * 4
16 + 32x = 36x

Solving
16 + 32x = 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
16 + 32x + -36x = 36x + -36x

Combine like terms: 32x + -36x = -4x
16 + -4x = 36x + -36x

Combine like terms: 36x + -36x = 0
16 + -4x = 0

Add '-16' to each side of the equation.
16 + -16 + -4x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 0 + -16
-4x = 0 + -16

Combine like terms: 0 + -16 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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