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

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


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

Reorder the terms:
31 + -5x = 5 + -3(-7 + x)
31 + -5x = 5 + (-7 * -3 + x * -3)
31 + -5x = 5 + (21 + -3x)

Combine like terms: 5 + 21 = 26
31 + -5x = 26 + -3x

Solving
31 + -5x = 26 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
31 + -5x + 3x = 26 + -3x + 3x

Combine like terms: -5x + 3x = -2x
31 + -2x = 26 + -3x + 3x

Combine like terms: -3x + 3x = 0
31 + -2x = 26 + 0
31 + -2x = 26

Add '-31' to each side of the equation.
31 + -31 + -2x = 26 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 26 + -31
-2x = 26 + -31

Combine like terms: 26 + -31 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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