2(5+3x)=3(x+1)+13

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Solution for 2(5+3x)=3(x+1)+13 equation: 


Simplifying
2(5 + 3x) = 3(x + 1) + 13
(5 * 2 + 3x * 2) = 3(x + 1) + 13
(10 + 6x) = 3(x + 1) + 13

Reorder the terms:
10 + 6x = 3(1 + x) + 13
10 + 6x = (1 * 3 + x * 3) + 13
10 + 6x = (3 + 3x) + 13

Reorder the terms:
10 + 6x = 3 + 13 + 3x

Combine like terms: 3 + 13 = 16
10 + 6x = 16 + 3x

Solving
10 + 6x = 16 + 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.
10 + 6x + -3x = 16 + 3x + -3x

Combine like terms: 6x + -3x = 3x
10 + 3x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 3x = 16 + 0
10 + 3x = 16

Add '-10' to each side of the equation.
10 + -10 + 3x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 16 + -10
3x = 16 + -10

Combine like terms: 16 + -10 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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