2x+37=7x-5

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Solution for 2x+37=7x-5 equation:


Simplifying
2x + 37 = 7x + -5

Reorder the terms:
37 + 2x = 7x + -5

Reorder the terms:
37 + 2x = -5 + 7x

Solving
37 + 2x = -5 + 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.
37 + 2x + -7x = -5 + 7x + -7x

Combine like terms: 2x + -7x = -5x
37 + -5x = -5 + 7x + -7x

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

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

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

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

Divide each side by '-5'.
x = 8.4

Simplifying
x = 8.4

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