3(x+8)+5=2(13+3x)

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Solution for 3(x+8)+5=2(13+3x) equation:


Simplifying
3(x + 8) + 5 = 2(13 + 3x)

Reorder the terms:
3(8 + x) + 5 = 2(13 + 3x)
(8 * 3 + x * 3) + 5 = 2(13 + 3x)
(24 + 3x) + 5 = 2(13 + 3x)

Reorder the terms:
24 + 5 + 3x = 2(13 + 3x)

Combine like terms: 24 + 5 = 29
29 + 3x = 2(13 + 3x)
29 + 3x = (13 * 2 + 3x * 2)
29 + 3x = (26 + 6x)

Solving
29 + 3x = 26 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
29 + 3x + -6x = 26 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
29 + -3x = 26 + 0
29 + -3x = 26

Add '-29' to each side of the equation.
29 + -29 + -3x = 26 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = 26 + -29
-3x = 26 + -29

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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