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

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


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

Reorder the terms:
8(4 + x) + x = 3(x + 5) + -4
(4 * 8 + x * 8) + x = 3(x + 5) + -4
(32 + 8x) + x = 3(x + 5) + -4

Combine like terms: 8x + x = 9x
32 + 9x = 3(x + 5) + -4

Reorder the terms:
32 + 9x = 3(5 + x) + -4
32 + 9x = (5 * 3 + x * 3) + -4
32 + 9x = (15 + 3x) + -4

Reorder the terms:
32 + 9x = 15 + -4 + 3x

Combine like terms: 15 + -4 = 11
32 + 9x = 11 + 3x

Solving
32 + 9x = 11 + 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.
32 + 9x + -3x = 11 + 3x + -3x

Combine like terms: 9x + -3x = 6x
32 + 6x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + 6x = 11 + 0
32 + 6x = 11

Add '-32' to each side of the equation.
32 + -32 + 6x = 11 + -32

Combine like terms: 32 + -32 = 0
0 + 6x = 11 + -32
6x = 11 + -32

Combine like terms: 11 + -32 = -21
6x = -21

Divide each side by '6'.
x = -3.5

Simplifying
x = -3.5

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