29(x-3)-5=3x+6

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Solution for 29(x-3)-5=3x+6 equation:


Simplifying
29(x + -3) + -5 = 3x + 6

Reorder the terms:
29(-3 + x) + -5 = 3x + 6
(-3 * 29 + x * 29) + -5 = 3x + 6
(-87 + 29x) + -5 = 3x + 6

Reorder the terms:
-87 + -5 + 29x = 3x + 6

Combine like terms: -87 + -5 = -92
-92 + 29x = 3x + 6

Reorder the terms:
-92 + 29x = 6 + 3x

Solving
-92 + 29x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-92 + 29x + -3x = 6 + 3x + -3x

Combine like terms: 29x + -3x = 26x
-92 + 26x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-92 + 26x = 6 + 0
-92 + 26x = 6

Add '92' to each side of the equation.
-92 + 92 + 26x = 6 + 92

Combine like terms: -92 + 92 = 0
0 + 26x = 6 + 92
26x = 6 + 92

Combine like terms: 6 + 92 = 98
26x = 98

Divide each side by '26'.
x = 3.769230769

Simplifying
x = 3.769230769

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