7(x+4)=3(2x-8)

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Solution for 7(x+4)=3(2x-8) equation:


Simplifying
7(x + 4) = 3(2x + -8)

Reorder the terms:
7(4 + x) = 3(2x + -8)
(4 * 7 + x * 7) = 3(2x + -8)
(28 + 7x) = 3(2x + -8)

Reorder the terms:
28 + 7x = 3(-8 + 2x)
28 + 7x = (-8 * 3 + 2x * 3)
28 + 7x = (-24 + 6x)

Solving
28 + 7x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
28 + 7x + -6x = -24 + 6x + -6x

Combine like terms: 7x + -6x = 1x
28 + 1x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
28 + 1x = -24 + 0
28 + 1x = -24

Add '-28' to each side of the equation.
28 + -28 + 1x = -24 + -28

Combine like terms: 28 + -28 = 0
0 + 1x = -24 + -28
1x = -24 + -28

Combine like terms: -24 + -28 = -52
1x = -52

Divide each side by '1'.
x = -52

Simplifying
x = -52

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