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

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


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

Reorder the terms:
2(3 + 5x) = 3x + 13
(3 * 2 + 5x * 2) = 3x + 13
(6 + 10x) = 3x + 13

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

Solving
6 + 10x = 13 + 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.
6 + 10x + -3x = 13 + 3x + -3x

Combine like terms: 10x + -3x = 7x
6 + 7x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 7x = 13 + 0
6 + 7x = 13

Add '-6' to each side of the equation.
6 + -6 + 7x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 13 + -6
7x = 13 + -6

Combine like terms: 13 + -6 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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