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

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


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

Reorder the terms:
3(-2 + x) + 2x + 3 = 3(x + 1)
(-2 * 3 + x * 3) + 2x + 3 = 3(x + 1)
(-6 + 3x) + 2x + 3 = 3(x + 1)

Reorder the terms:
-6 + 3 + 3x + 2x = 3(x + 1)

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

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

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

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

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

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 3 + 3

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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