x*4+37=x*6-13

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Solution for x*4+37=x*6-13 equation:


Simplifying
x * 4 + 37 = x * 6 + -13

Reorder the terms for easier multiplication:
4x + 37 = x * 6 + -13

Reorder the terms:
37 + 4x = x * 6 + -13

Reorder the terms for easier multiplication:
37 + 4x = 6x + -13

Reorder the terms:
37 + 4x = -13 + 6x

Solving
37 + 4x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
37 + 4x + -6x = -13 + 6x + -6x

Combine like terms: 4x + -6x = -2x
37 + -2x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
37 + -2x = -13 + 0
37 + -2x = -13

Add '-37' to each side of the equation.
37 + -37 + -2x = -13 + -37

Combine like terms: 37 + -37 = 0
0 + -2x = -13 + -37
-2x = -13 + -37

Combine like terms: -13 + -37 = -50
-2x = -50

Divide each side by '-2'.
x = 25

Simplifying
x = 25

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