2(x+5)=9x+31

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Solution for 2(x+5)=9x+31 equation:


Simplifying
2(x + 5) = 9x + 31

Reorder the terms:
2(5 + x) = 9x + 31
(5 * 2 + x * 2) = 9x + 31
(10 + 2x) = 9x + 31

Reorder the terms:
10 + 2x = 31 + 9x

Solving
10 + 2x = 31 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 2x + -9x = 31 + 9x + -9x

Combine like terms: 2x + -9x = -7x
10 + -7x = 31 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + -7x = 31 + 0
10 + -7x = 31

Add '-10' to each side of the equation.
10 + -10 + -7x = 31 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 31 + -10
-7x = 31 + -10

Combine like terms: 31 + -10 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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