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

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


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

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

Reorder the terms:
-40 + 8x = 4(4 + x)
-40 + 8x = (4 * 4 + x * 4)
-40 + 8x = (16 + 4x)

Solving
-40 + 8x = 16 + 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 = 16 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-40 + 4x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-40 + 4x = 16 + 0
-40 + 4x = 16

Add '40' to each side of the equation.
-40 + 40 + 4x = 16 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = 16 + 40
4x = 16 + 40

Combine like terms: 16 + 40 = 56
4x = 56

Divide each side by '4'.
x = 14

Simplifying
x = 14

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