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

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


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

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

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

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

Solving
1 + 5x = 9 + 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.
1 + 5x + -3x = 9 + 3x + -3x

Combine like terms: 5x + -3x = 2x
1 + 2x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 2x = 9 + 0
1 + 2x = 9

Add '-1' to each side of the equation.
1 + -1 + 2x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 9 + -1
2x = 9 + -1

Combine like terms: 9 + -1 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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