7(x+4)-(3x-8)=5

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Solution for 7(x+4)-(3x-8)=5 equation: 


Simplifying
7(x + 4) + -1(3x + -8) = 5

Reorder the terms:
7(4 + x) + -1(3x + -8) = 5
(4 * 7 + x * 7) + -1(3x + -8) = 5
(28 + 7x) + -1(3x + -8) = 5

Reorder the terms:
28 + 7x + -1(-8 + 3x) = 5
28 + 7x + (-8 * -1 + 3x * -1) = 5
28 + 7x + (8 + -3x) = 5

Reorder the terms:
28 + 8 + 7x + -3x = 5

Combine like terms: 28 + 8 = 36
36 + 7x + -3x = 5

Combine like terms: 7x + -3x = 4x
36 + 4x = 5

Solving
36 + 4x = 5

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 4x = 5 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = 5 + -36
4x = 5 + -36

Combine like terms: 5 + -36 = -31
4x = -31

Divide each side by '4'.
x = -7.75

Simplifying
x = -7.75

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