31=2x-3(2x-17)

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Solution for 31=2x-3(2x-17) equation:


Simplifying
31 = 2x + -3(2x + -17)

Reorder the terms:
31 = 2x + -3(-17 + 2x)
31 = 2x + (-17 * -3 + 2x * -3)
31 = 2x + (51 + -6x)

Reorder the terms:
31 = 51 + 2x + -6x

Combine like terms: 2x + -6x = -4x
31 = 51 + -4x

Solving
31 = 51 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
31 + 4x = 51 + -4x + 4x

Combine like terms: -4x + 4x = 0
31 + 4x = 51 + 0
31 + 4x = 51

Add '-31' to each side of the equation.
31 + -31 + 4x = 51 + -31

Combine like terms: 31 + -31 = 0
0 + 4x = 51 + -31
4x = 51 + -31

Combine like terms: 51 + -31 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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