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

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


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

Reorder the terms:
3(3 + x) = 5(x + 1)
(3 * 3 + x * 3) = 5(x + 1)
(9 + 3x) = 5(x + 1)

Reorder the terms:
9 + 3x = 5(1 + x)
9 + 3x = (1 * 5 + x * 5)
9 + 3x = (5 + 5x)

Solving
9 + 3x = 5 + 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.
9 + 3x + -5x = 5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
9 + -2x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -2x = 5 + 0
9 + -2x = 5

Add '-9' to each side of the equation.
9 + -9 + -2x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 5 + -9
-2x = 5 + -9

Combine like terms: 5 + -9 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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