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

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


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

Reorder the terms:
8(-3 + x) = 4(x + 8)
(-3 * 8 + x * 8) = 4(x + 8)
(-24 + 8x) = 4(x + 8)

Reorder the terms:
-24 + 8x = 4(8 + x)
-24 + 8x = (8 * 4 + x * 4)
-24 + 8x = (32 + 4x)

Solving
-24 + 8x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-24 + 8x + -4x = 32 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-24 + 4x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 4x = 32 + 0
-24 + 4x = 32

Add '24' to each side of the equation.
-24 + 24 + 4x = 32 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = 32 + 24
4x = 32 + 24

Combine like terms: 32 + 24 = 56
4x = 56

Divide each side by '4'.
x = 14

Simplifying
x = 14

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