31-7x=5-3x-2(x-3)

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Solution for 31-7x=5-3x-2(x-3) equation: 


Simplifying
31 + -7x = 5 + -3x + -2(x + -3)

Reorder the terms:
31 + -7x = 5 + -3x + -2(-3 + x)
31 + -7x = 5 + -3x + (-3 * -2 + x * -2)
31 + -7x = 5 + -3x + (6 + -2x)

Reorder the terms:
31 + -7x = 5 + 6 + -3x + -2x

Combine like terms: 5 + 6 = 11
31 + -7x = 11 + -3x + -2x

Combine like terms: -3x + -2x = -5x
31 + -7x = 11 + -5x

Solving
31 + -7x = 11 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
31 + -7x + 5x = 11 + -5x + 5x

Combine like terms: -7x + 5x = -2x
31 + -2x = 11 + -5x + 5x

Combine like terms: -5x + 5x = 0
31 + -2x = 11 + 0
31 + -2x = 11

Add '-31' to each side of the equation.
31 + -31 + -2x = 11 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 11 + -31
-2x = 11 + -31

Combine like terms: 11 + -31 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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