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

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


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

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

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

Combine like terms: x + 3x = 4x
-3 + 4x = (2x + 3)

Reorder the terms:
-3 + 4x = (3 + 2x)

Remove parenthesis around (3 + 2x)
-3 + 4x = 3 + 2x

Solving
-3 + 4x = 3 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-3 + 4x + -2x = 3 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-3 + 2x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 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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