8x+4(x-4)=3(x+3)+5

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Solution for 8x+4(x-4)=3(x+3)+5 equation:


Simplifying
8x + 4(x + -4) = 3(x + 3) + 5

Reorder the terms:
8x + 4(-4 + x) = 3(x + 3) + 5
8x + (-4 * 4 + x * 4) = 3(x + 3) + 5
8x + (-16 + 4x) = 3(x + 3) + 5

Reorder the terms:
-16 + 8x + 4x = 3(x + 3) + 5

Combine like terms: 8x + 4x = 12x
-16 + 12x = 3(x + 3) + 5

Reorder the terms:
-16 + 12x = 3(3 + x) + 5
-16 + 12x = (3 * 3 + x * 3) + 5
-16 + 12x = (9 + 3x) + 5

Reorder the terms:
-16 + 12x = 9 + 5 + 3x

Combine like terms: 9 + 5 = 14
-16 + 12x = 14 + 3x

Solving
-16 + 12x = 14 + 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.
-16 + 12x + -3x = 14 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-16 + 9x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 9x = 14 + 0
-16 + 9x = 14

Add '16' to each side of the equation.
-16 + 16 + 9x = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 14 + 16
9x = 14 + 16

Combine like terms: 14 + 16 = 30
9x = 30

Divide each side by '9'.
x = 3.333333333

Simplifying
x = 3.333333333

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