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

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


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

Reorder the terms:
8(4 + x) = 4(x + 5)
(4 * 8 + x * 8) = 4(x + 5)
(32 + 8x) = 4(x + 5)

Reorder the terms:
32 + 8x = 4(5 + x)
32 + 8x = (5 * 4 + x * 4)
32 + 8x = (20 + 4x)

Solving
32 + 8x = 20 + 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.
32 + 8x + -4x = 20 + 4x + -4x

Combine like terms: 8x + -4x = 4x
32 + 4x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
32 + 4x = 20 + 0
32 + 4x = 20

Add '-32' to each side of the equation.
32 + -32 + 4x = 20 + -32

Combine like terms: 32 + -32 = 0
0 + 4x = 20 + -32
4x = 20 + -32

Combine like terms: 20 + -32 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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