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

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


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

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

Combine like terms: -11 + 37 = 26
26 + 3x + x = 2x + 7

Combine like terms: 3x + x = 4x
26 + 4x = 2x + 7

Reorder the terms:
26 + 4x = 7 + 2x

Solving
26 + 4x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
26 + 4x + -2x = 7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
26 + 2x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
26 + 2x = 7 + 0
26 + 2x = 7

Add '-26' to each side of the equation.
26 + -26 + 2x = 7 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = 7 + -26
2x = 7 + -26

Combine like terms: 7 + -26 = -19
2x = -19

Divide each side by '2'.
x = -9.5

Simplifying
x = -9.5

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