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

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


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

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

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

Combine like terms: 15 + -2 = 13
13 + 5x = 3(x + 2)

Reorder the terms:
13 + 5x = 3(2 + x)
13 + 5x = (2 * 3 + x * 3)
13 + 5x = (6 + 3x)

Solving
13 + 5x = 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.
13 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
13 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + 2x = 6 + 0
13 + 2x = 6

Add '-13' to each side of the equation.
13 + -13 + 2x = 6 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 6 + -13
2x = 6 + -13

Combine like terms: 6 + -13 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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