(3x+37)=(8x-3)

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Solution for (3x+37)=(8x-3) equation:


Simplifying
(3x + 37) = (8x + -3)

Reorder the terms:
(37 + 3x) = (8x + -3)

Remove parenthesis around (37 + 3x)
37 + 3x = (8x + -3)

Reorder the terms:
37 + 3x = (-3 + 8x)

Remove parenthesis around (-3 + 8x)
37 + 3x = -3 + 8x

Solving
37 + 3x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
37 + 3x + -8x = -3 + 8x + -8x

Combine like terms: 3x + -8x = -5x
37 + -5x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
37 + -5x = -3 + 0
37 + -5x = -3

Add '-37' to each side of the equation.
37 + -37 + -5x = -3 + -37

Combine like terms: 37 + -37 = 0
0 + -5x = -3 + -37
-5x = -3 + -37

Combine like terms: -3 + -37 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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