3(7x+2)=5(3x+1)+13

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Solution for 3(7x+2)=5(3x+1)+13 equation:


Simplifying
3(7x + 2) = 5(3x + 1) + 13

Reorder the terms:
3(2 + 7x) = 5(3x + 1) + 13
(2 * 3 + 7x * 3) = 5(3x + 1) + 13
(6 + 21x) = 5(3x + 1) + 13

Reorder the terms:
6 + 21x = 5(1 + 3x) + 13
6 + 21x = (1 * 5 + 3x * 5) + 13
6 + 21x = (5 + 15x) + 13

Reorder the terms:
6 + 21x = 5 + 13 + 15x

Combine like terms: 5 + 13 = 18
6 + 21x = 18 + 15x

Solving
6 + 21x = 18 + 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.
6 + 21x + -15x = 18 + 15x + -15x

Combine like terms: 21x + -15x = 6x
6 + 6x = 18 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + 6x = 18 + 0
6 + 6x = 18

Add '-6' to each side of the equation.
6 + -6 + 6x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 18 + -6
6x = 18 + -6

Combine like terms: 18 + -6 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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