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

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


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

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

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

Combine like terms: x + 1x = 2x
5 + 2x = x + 2(x + 3)

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

Reorder the terms:
5 + 2x = 6 + x + 2x

Combine like terms: x + 2x = 3x
5 + 2x = 6 + 3x

Solving
5 + 2x = 6 + 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.
5 + 2x + -3x = 6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
5 + -1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -1x = 6 + 0
5 + -1x = 6

Add '-5' to each side of the equation.
5 + -5 + -1x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 6 + -5
-1x = 6 + -5

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

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

Simplifying
x = -1

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