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

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


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

Reorder the terms:
5(2 + x) = 3(x + 3) + -1
(2 * 5 + x * 5) = 3(x + 3) + -1
(10 + 5x) = 3(x + 3) + -1

Reorder the terms:
10 + 5x = 3(3 + x) + -1
10 + 5x = (3 * 3 + x * 3) + -1
10 + 5x = (9 + 3x) + -1

Reorder the terms:
10 + 5x = 9 + -1 + 3x

Combine like terms: 9 + -1 = 8
10 + 5x = 8 + 3x

Solving
10 + 5x = 8 + 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.
10 + 5x + -3x = 8 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = 8 + 0
10 + 2x = 8

Add '-10' to each side of the equation.
10 + -10 + 2x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 8 + -10
2x = 8 + -10

Combine like terms: 8 + -10 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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