4x+37=11x-5

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Solution for 4x+37=11x-5 equation:


Simplifying
4x + 37 = 11x + -5

Reorder the terms:
37 + 4x = 11x + -5

Reorder the terms:
37 + 4x = -5 + 11x

Solving
37 + 4x = -5 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
37 + 4x + -11x = -5 + 11x + -11x

Combine like terms: 4x + -11x = -7x
37 + -7x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
37 + -7x = -5 + 0
37 + -7x = -5

Add '-37' to each side of the equation.
37 + -37 + -7x = -5 + -37

Combine like terms: 37 + -37 = 0
0 + -7x = -5 + -37
-7x = -5 + -37

Combine like terms: -5 + -37 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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