(3x+23)=(7x-37)

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Solution for (3x+23)=(7x-37) equation:


Simplifying
(3x + 23) = (7x + -37)

Reorder the terms:
(23 + 3x) = (7x + -37)

Remove parenthesis around (23 + 3x)
23 + 3x = (7x + -37)

Reorder the terms:
23 + 3x = (-37 + 7x)

Remove parenthesis around (-37 + 7x)
23 + 3x = -37 + 7x

Solving
23 + 3x = -37 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
23 + 3x + -7x = -37 + 7x + -7x

Combine like terms: 3x + -7x = -4x
23 + -4x = -37 + 7x + -7x

Combine like terms: 7x + -7x = 0
23 + -4x = -37 + 0
23 + -4x = -37

Add '-23' to each side of the equation.
23 + -23 + -4x = -37 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = -37 + -23
-4x = -37 + -23

Combine like terms: -37 + -23 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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