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

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


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

Reorder the terms:
8(5 + x) = 4(x + 8)
(5 * 8 + x * 8) = 4(x + 8)
(40 + 8x) = 4(x + 8)

Reorder the terms:
40 + 8x = 4(8 + x)
40 + 8x = (8 * 4 + x * 4)
40 + 8x = (32 + 4x)

Solving
40 + 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.
40 + 8x + -4x = 32 + 4x + -4x

Combine like terms: 8x + -4x = 4x
40 + 4x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + 4x = 32 + 0
40 + 4x = 32

Add '-40' to each side of the equation.
40 + -40 + 4x = 32 + -40

Combine like terms: 40 + -40 = 0
0 + 4x = 32 + -40
4x = 32 + -40

Combine like terms: 32 + -40 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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