2(5x+8)=31+7x

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Solution for 2(5x+8)=31+7x equation:


Simplifying
2(5x + 8) = 31 + 7x

Reorder the terms:
2(8 + 5x) = 31 + 7x
(8 * 2 + 5x * 2) = 31 + 7x
(16 + 10x) = 31 + 7x

Solving
16 + 10x = 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.
16 + 10x + -7x = 31 + 7x + -7x

Combine like terms: 10x + -7x = 3x
16 + 3x = 31 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + 3x = 31 + 0
16 + 3x = 31

Add '-16' to each side of the equation.
16 + -16 + 3x = 31 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 31 + -16
3x = 31 + -16

Combine like terms: 31 + -16 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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