(3x+22)+(3x+22)=8x-23

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Solution for (3x+22)+(3x+22)=8x-23 equation:


Simplifying
(3x + 22) + (3x + 22) = 8x + -23

Reorder the terms:
(22 + 3x) + (3x + 22) = 8x + -23

Remove parenthesis around (22 + 3x)
22 + 3x + (3x + 22) = 8x + -23

Reorder the terms:
22 + 3x + (22 + 3x) = 8x + -23

Remove parenthesis around (22 + 3x)
22 + 3x + 22 + 3x = 8x + -23

Reorder the terms:
22 + 22 + 3x + 3x = 8x + -23

Combine like terms: 22 + 22 = 44
44 + 3x + 3x = 8x + -23

Combine like terms: 3x + 3x = 6x
44 + 6x = 8x + -23

Reorder the terms:
44 + 6x = -23 + 8x

Solving
44 + 6x = -23 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
44 + 6x + -8x = -23 + 8x + -8x

Combine like terms: 6x + -8x = -2x
44 + -2x = -23 + 8x + -8x

Combine like terms: 8x + -8x = 0
44 + -2x = -23 + 0
44 + -2x = -23

Add '-44' to each side of the equation.
44 + -44 + -2x = -23 + -44

Combine like terms: 44 + -44 = 0
0 + -2x = -23 + -44
-2x = -23 + -44

Combine like terms: -23 + -44 = -67
-2x = -67

Divide each side by '-2'.
x = 33.5

Simplifying
x = 33.5

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