3x-11+2x+7=x+37

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Solution for 3x-11+2x+7=x+37 equation:


Simplifying
3x + -11 + 2x + 7 = x + 37

Reorder the terms:
-11 + 7 + 3x + 2x = x + 37

Combine like terms: -11 + 7 = -4
-4 + 3x + 2x = x + 37

Combine like terms: 3x + 2x = 5x
-4 + 5x = x + 37

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

Solving
-4 + 5x = 37 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + 5x + -1x = 37 + x + -1x

Combine like terms: 5x + -1x = 4x
-4 + 4x = 37 + x + -1x

Combine like terms: x + -1x = 0
-4 + 4x = 37 + 0
-4 + 4x = 37

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

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

Combine like terms: 37 + 4 = 41
4x = 41

Divide each side by '4'.
x = 10.25

Simplifying
x = 10.25

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