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

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


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

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

Reorder the terms:
10 + 6x = 5(3 + x)
10 + 6x = (3 * 5 + x * 5)
10 + 6x = (15 + 5x)

Solving
10 + 6x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 6x + -5x = 15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
10 + 1x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 1x = 15 + 0
10 + 1x = 15

Add '-10' to each side of the equation.
10 + -10 + 1x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 15 + -10
1x = 15 + -10

Combine like terms: 15 + -10 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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