8(x-4)+8x=3(3+4x)

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


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

Reorder the terms:
8(-4 + x) + 8x = 3(3 + 4x)
(-4 * 8 + x * 8) + 8x = 3(3 + 4x)
(-32 + 8x) + 8x = 3(3 + 4x)

Combine like terms: 8x + 8x = 16x
-32 + 16x = 3(3 + 4x)
-32 + 16x = (3 * 3 + 4x * 3)
-32 + 16x = (9 + 12x)

Solving
-32 + 16x = 9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-32 + 16x + -12x = 9 + 12x + -12x

Combine like terms: 16x + -12x = 4x
-32 + 4x = 9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-32 + 4x = 9 + 0
-32 + 4x = 9

Add '32' to each side of the equation.
-32 + 32 + 4x = 9 + 32

Combine like terms: -32 + 32 = 0
0 + 4x = 9 + 32
4x = 9 + 32

Combine like terms: 9 + 32 = 41
4x = 41

Divide each side by '4'.
x = 10.25

Simplifying
x = 10.25

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