4x+31=3(4x+5)

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Solution for 4x+31=3(4x+5) equation:


Simplifying
4x + 31 = 3(4x + 5)

Reorder the terms:
31 + 4x = 3(4x + 5)

Reorder the terms:
31 + 4x = 3(5 + 4x)
31 + 4x = (5 * 3 + 4x * 3)
31 + 4x = (15 + 12x)

Solving
31 + 4x = 15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
31 + 4x + -12x = 15 + 12x + -12x

Combine like terms: 4x + -12x = -8x
31 + -8x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
31 + -8x = 15 + 0
31 + -8x = 15

Add '-31' to each side of the equation.
31 + -31 + -8x = 15 + -31

Combine like terms: 31 + -31 = 0
0 + -8x = 15 + -31
-8x = 15 + -31

Combine like terms: 15 + -31 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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