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

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


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

Reorder the terms:
4(-5 + 4x) = 8(x + 3)
(-5 * 4 + 4x * 4) = 8(x + 3)
(-20 + 16x) = 8(x + 3)

Reorder the terms:
-20 + 16x = 8(3 + x)
-20 + 16x = (3 * 8 + x * 8)
-20 + 16x = (24 + 8x)

Solving
-20 + 16x = 24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-20 + 16x + -8x = 24 + 8x + -8x

Combine like terms: 16x + -8x = 8x
-20 + 8x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + 8x = 24 + 0
-20 + 8x = 24

Add '20' to each side of the equation.
-20 + 20 + 8x = 24 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 24 + 20
8x = 24 + 20

Combine like terms: 24 + 20 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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