(8x-3)=(5x+42)

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Solution for (8x-3)=(5x+42) equation:


Simplifying
(8x + -3) = (5x + 42)

Reorder the terms:
(-3 + 8x) = (5x + 42)

Remove parenthesis around (-3 + 8x)
-3 + 8x = (5x + 42)

Reorder the terms:
-3 + 8x = (42 + 5x)

Remove parenthesis around (42 + 5x)
-3 + 8x = 42 + 5x

Solving
-3 + 8x = 42 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 8x + -5x = 42 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-3 + 3x = 42 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 3x = 42 + 0
-3 + 3x = 42

Add '3' to each side of the equation.
-3 + 3 + 3x = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 42 + 3
3x = 42 + 3

Combine like terms: 42 + 3 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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