7(x+4)=3x-8

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


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

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

Reorder the terms:
28 + 7x = -8 + 3x

Solving
28 + 7x = -8 + 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.
28 + 7x + -3x = -8 + 3x + -3x

Combine like terms: 7x + -3x = 4x
28 + 4x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 4x = -8 + 0
28 + 4x = -8

Add '-28' to each side of the equation.
28 + -28 + 4x = -8 + -28

Combine like terms: 28 + -28 = 0
0 + 4x = -8 + -28
4x = -8 + -28

Combine like terms: -8 + -28 = -36
4x = -36

Divide each side by '4'.
x = -9

Simplifying
x = -9

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