3(5x+1)=10x+13

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Solution for 3(5x+1)=10x+13 equation:


Simplifying
3(5x + 1) = 10x + 13

Reorder the terms:
3(1 + 5x) = 10x + 13
(1 * 3 + 5x * 3) = 10x + 13
(3 + 15x) = 10x + 13

Reorder the terms:
3 + 15x = 13 + 10x

Solving
3 + 15x = 13 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + 15x + -10x = 13 + 10x + -10x

Combine like terms: 15x + -10x = 5x
3 + 5x = 13 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + 5x = 13 + 0
3 + 5x = 13

Add '-3' to each side of the equation.
3 + -3 + 5x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 13 + -3
5x = 13 + -3

Combine like terms: 13 + -3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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