4x+9=-7x+31

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Solution for 4x+9=-7x+31 equation: 


Simplifying
4x + 9 = -7x + 31

Reorder the terms:
9 + 4x = -7x + 31

Reorder the terms:
9 + 4x = 31 + -7x

Solving
9 + 4x = 31 + -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.
9 + 4x + 7x = 31 + -7x + 7x

Combine like terms: 4x + 7x = 11x
9 + 11x = 31 + -7x + 7x

Combine like terms: -7x + 7x = 0
9 + 11x = 31 + 0
9 + 11x = 31

Add '-9' to each side of the equation.
9 + -9 + 11x = 31 + -9

Combine like terms: 9 + -9 = 0
0 + 11x = 31 + -9
11x = 31 + -9

Combine like terms: 31 + -9 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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