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

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


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

Reorder the terms:
2(1 + x) = 3(x + 5)
(1 * 2 + x * 2) = 3(x + 5)
(2 + 2x) = 3(x + 5)

Reorder the terms:
2 + 2x = 3(5 + x)
2 + 2x = (5 * 3 + x * 3)
2 + 2x = (15 + 3x)

Solving
2 + 2x = 15 + 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.
2 + 2x + -3x = 15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = 15 + 0
2 + -1x = 15

Add '-2' to each side of the equation.
2 + -2 + -1x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 15 + -2
-1x = 15 + -2

Combine like terms: 15 + -2 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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