(3x+23)+(4x+6)=5x+8

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Solution for (3x+23)+(4x+6)=5x+8 equation:


Simplifying
(3x + 23) + (4x + 6) = 5x + 8

Reorder the terms:
(23 + 3x) + (4x + 6) = 5x + 8

Remove parenthesis around (23 + 3x)
23 + 3x + (4x + 6) = 5x + 8

Reorder the terms:
23 + 3x + (6 + 4x) = 5x + 8

Remove parenthesis around (6 + 4x)
23 + 3x + 6 + 4x = 5x + 8

Reorder the terms:
23 + 6 + 3x + 4x = 5x + 8

Combine like terms: 23 + 6 = 29
29 + 3x + 4x = 5x + 8

Combine like terms: 3x + 4x = 7x
29 + 7x = 5x + 8

Reorder the terms:
29 + 7x = 8 + 5x

Solving
29 + 7x = 8 + 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.
29 + 7x + -5x = 8 + 5x + -5x

Combine like terms: 7x + -5x = 2x
29 + 2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
29 + 2x = 8 + 0
29 + 2x = 8

Add '-29' to each side of the equation.
29 + -29 + 2x = 8 + -29

Combine like terms: 29 + -29 = 0
0 + 2x = 8 + -29
2x = 8 + -29

Combine like terms: 8 + -29 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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