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

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


Simplifying
(8x + -12) = (3x + 5)

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

Remove parenthesis around (-12 + 8x)
-12 + 8x = (3x + 5)

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

Remove parenthesis around (5 + 3x)
-12 + 8x = 5 + 3x

Solving
-12 + 8x = 5 + 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.
-12 + 8x + -3x = 5 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-12 + 5x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 5x = 5 + 0
-12 + 5x = 5

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

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

Combine like terms: 5 + 12 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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