8(4+x)-3=12(x+y)+5

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Solution for 8(4+x)-3=12(x+y)+5 equation:


Simplifying
8(4 + x) + -3 = 12(x + y) + 5
(4 * 8 + x * 8) + -3 = 12(x + y) + 5
(32 + 8x) + -3 = 12(x + y) + 5

Reorder the terms:
32 + -3 + 8x = 12(x + y) + 5

Combine like terms: 32 + -3 = 29
29 + 8x = 12(x + y) + 5
29 + 8x = (x * 12 + y * 12) + 5
29 + 8x = (12x + 12y) + 5

Reorder the terms:
29 + 8x = 5 + 12x + 12y

Solving
29 + 8x = 5 + 12x + 12y

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
29 + 8x + -12x = 5 + 12x + -12x + 12y

Combine like terms: 8x + -12x = -4x
29 + -4x = 5 + 12x + -12x + 12y

Combine like terms: 12x + -12x = 0
29 + -4x = 5 + 0 + 12y
29 + -4x = 5 + 12y

Add '-29' to each side of the equation.
29 + -29 + -4x = 5 + -29 + 12y

Combine like terms: 29 + -29 = 0
0 + -4x = 5 + -29 + 12y
-4x = 5 + -29 + 12y

Combine like terms: 5 + -29 = -24
-4x = -24 + 12y

Divide each side by '-4'.
x = 6 + -3y

Simplifying
x = 6 + -3y

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