3(x+8)+1=-3(x+4)+x

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Solution for 3(x+8)+1=-3(x+4)+x equation: 


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

Reorder the terms:
3(8 + x) + 1 = -3(x + 4) + x
(8 * 3 + x * 3) + 1 = -3(x + 4) + x
(24 + 3x) + 1 = -3(x + 4) + x

Reorder the terms:
24 + 1 + 3x = -3(x + 4) + x

Combine like terms: 24 + 1 = 25
25 + 3x = -3(x + 4) + x

Reorder the terms:
25 + 3x = -3(4 + x) + x
25 + 3x = (4 * -3 + x * -3) + x
25 + 3x = (-12 + -3x) + x

Combine like terms: -3x + x = -2x
25 + 3x = -12 + -2x

Solving
25 + 3x = -12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
25 + 3x + 2x = -12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
25 + 5x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
25 + 5x = -12 + 0
25 + 5x = -12

Add '-25' to each side of the equation.
25 + -25 + 5x = -12 + -25

Combine like terms: 25 + -25 = 0
0 + 5x = -12 + -25
5x = -12 + -25

Combine like terms: -12 + -25 = -37
5x = -37

Divide each side by '5'.
x = -7.4

Simplifying
x = -7.4

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