8(x+1)+23=12(x+1)-1

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Solution for 8(x+1)+23=12(x+1)-1 equation: 


Simplifying
8(x + 1) + 23 = 12(x + 1) + -1

Reorder the terms:
8(1 + x) + 23 = 12(x + 1) + -1
(1 * 8 + x * 8) + 23 = 12(x + 1) + -1
(8 + 8x) + 23 = 12(x + 1) + -1

Reorder the terms:
8 + 23 + 8x = 12(x + 1) + -1

Combine like terms: 8 + 23 = 31
31 + 8x = 12(x + 1) + -1

Reorder the terms:
31 + 8x = 12(1 + x) + -1
31 + 8x = (1 * 12 + x * 12) + -1
31 + 8x = (12 + 12x) + -1

Reorder the terms:
31 + 8x = 12 + -1 + 12x

Combine like terms: 12 + -1 = 11
31 + 8x = 11 + 12x

Solving
31 + 8x = 11 + 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 + 8x + -12x = 11 + 12x + -12x

Combine like terms: 8x + -12x = -4x
31 + -4x = 11 + 12x + -12x

Combine like terms: 12x + -12x = 0
31 + -4x = 11 + 0
31 + -4x = 11

Add '-31' to each side of the equation.
31 + -31 + -4x = 11 + -31

Combine like terms: 31 + -31 = 0
0 + -4x = 11 + -31
-4x = 11 + -31

Combine like terms: 11 + -31 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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