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

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Solution for 7(x+8)=3(x-8) equation:


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

Reorder the terms:
7(8 + x) = 3(x + -8)
(8 * 7 + x * 7) = 3(x + -8)
(56 + 7x) = 3(x + -8)

Reorder the terms:
56 + 7x = 3(-8 + x)
56 + 7x = (-8 * 3 + x * 3)
56 + 7x = (-24 + 3x)

Solving
56 + 7x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
56 + 7x + -3x = -24 + 3x + -3x

Combine like terms: 7x + -3x = 4x
56 + 4x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
56 + 4x = -24 + 0
56 + 4x = -24

Add '-56' to each side of the equation.
56 + -56 + 4x = -24 + -56

Combine like terms: 56 + -56 = 0
0 + 4x = -24 + -56
4x = -24 + -56

Combine like terms: -24 + -56 = -80
4x = -80

Divide each side by '4'.
x = -20

Simplifying
x = -20

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