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

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


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

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

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

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

Solving
-3 + 2x = 2 + 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 + 2x + -3x = 2 + 3x + -3x

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

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 2 + 3

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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