3x+31=5(x+10)+25

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Solution for 3x+31=5(x+10)+25 equation:


Simplifying
3x + 31 = 5(x + 10) + 25

Reorder the terms:
31 + 3x = 5(x + 10) + 25

Reorder the terms:
31 + 3x = 5(10 + x) + 25
31 + 3x = (10 * 5 + x * 5) + 25
31 + 3x = (50 + 5x) + 25

Reorder the terms:
31 + 3x = 50 + 25 + 5x

Combine like terms: 50 + 25 = 75
31 + 3x = 75 + 5x

Solving
31 + 3x = 75 + 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 + 3x + -5x = 75 + 5x + -5x

Combine like terms: 3x + -5x = -2x
31 + -2x = 75 + 5x + -5x

Combine like terms: 5x + -5x = 0
31 + -2x = 75 + 0
31 + -2x = 75

Add '-31' to each side of the equation.
31 + -31 + -2x = 75 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 75 + -31
-2x = 75 + -31

Combine like terms: 75 + -31 = 44
-2x = 44

Divide each side by '-2'.
x = -22

Simplifying
x = -22

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