5x-2(x+2)=13-3x

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Solution for 5x-2(x+2)=13-3x equation:


Simplifying
5x + -2(x + 2) = 13 + -3x

Reorder the terms:
5x + -2(2 + x) = 13 + -3x
5x + (2 * -2 + x * -2) = 13 + -3x
5x + (-4 + -2x) = 13 + -3x

Reorder the terms:
-4 + 5x + -2x = 13 + -3x

Combine like terms: 5x + -2x = 3x
-4 + 3x = 13 + -3x

Solving
-4 + 3x = 13 + -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.
-4 + 3x + 3x = 13 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-4 + 6x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 6x = 13 + 0
-4 + 6x = 13

Add '4' to each side of the equation.
-4 + 4 + 6x = 13 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 13 + 4
6x = 13 + 4

Combine like terms: 13 + 4 = 17
6x = 17

Divide each side by '6'.
x = 2.833333333

Simplifying
x = 2.833333333

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