4(x+8)-(3x+7)=3(4-x)+(x-6)

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Solution for 4(x+8)-(3x+7)=3(4-x)+(x-6) equation: 


Simplifying
4(x + 8) + -1(3x + 7) = 3(4 + -1x) + (x + -6)

Reorder the terms:
4(8 + x) + -1(3x + 7) = 3(4 + -1x) + (x + -6)
(8 * 4 + x * 4) + -1(3x + 7) = 3(4 + -1x) + (x + -6)
(32 + 4x) + -1(3x + 7) = 3(4 + -1x) + (x + -6)

Reorder the terms:
32 + 4x + -1(7 + 3x) = 3(4 + -1x) + (x + -6)
32 + 4x + (7 * -1 + 3x * -1) = 3(4 + -1x) + (x + -6)
32 + 4x + (-7 + -3x) = 3(4 + -1x) + (x + -6)

Reorder the terms:
32 + -7 + 4x + -3x = 3(4 + -1x) + (x + -6)

Combine like terms: 32 + -7 = 25
25 + 4x + -3x = 3(4 + -1x) + (x + -6)

Combine like terms: 4x + -3x = 1x
25 + 1x = 3(4 + -1x) + (x + -6)
25 + 1x = (4 * 3 + -1x * 3) + (x + -6)
25 + 1x = (12 + -3x) + (x + -6)

Reorder the terms:
25 + 1x = 12 + -3x + (-6 + x)

Remove parenthesis around (-6 + x)
25 + 1x = 12 + -3x + -6 + x

Reorder the terms:
25 + 1x = 12 + -6 + -3x + x

Combine like terms: 12 + -6 = 6
25 + 1x = 6 + -3x + x

Combine like terms: -3x + x = -2x
25 + 1x = 6 + -2x

Solving
25 + 1x = 6 + -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 + 1x + 2x = 6 + -2x + 2x

Combine like terms: 1x + 2x = 3x
25 + 3x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
25 + 3x = 6 + 0
25 + 3x = 6

Add '-25' to each side of the equation.
25 + -25 + 3x = 6 + -25

Combine like terms: 25 + -25 = 0
0 + 3x = 6 + -25
3x = 6 + -25

Combine like terms: 6 + -25 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333

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