-29=5(3x+2)+6

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Solution for -29=5(3x+2)+6 equation:


Simplifying
-29 = 5(3x + 2) + 6

Reorder the terms:
-29 = 5(2 + 3x) + 6
-29 = (2 * 5 + 3x * 5) + 6
-29 = (10 + 15x) + 6

Reorder the terms:
-29 = 10 + 6 + 15x

Combine like terms: 10 + 6 = 16
-29 = 16 + 15x

Solving
-29 = 16 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-29 + -15x = 16 + 15x + -15x

Combine like terms: 15x + -15x = 0
-29 + -15x = 16 + 0
-29 + -15x = 16

Add '29' to each side of the equation.
-29 + 29 + -15x = 16 + 29

Combine like terms: -29 + 29 = 0
0 + -15x = 16 + 29
-15x = 16 + 29

Combine like terms: 16 + 29 = 45
-15x = 45

Divide each side by '-15'.
x = -3

Simplifying
x = -3

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