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

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


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

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

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

Combine like terms: 2x + -3x = -1x
3 + 5x = 4 + -1x

Solving
3 + 5x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 5x + x = 4 + -1x + x

Combine like terms: 5x + x = 6x
3 + 6x = 4 + -1x + x

Combine like terms: -1x + x = 0
3 + 6x = 4 + 0
3 + 6x = 4

Add '-3' to each side of the equation.
3 + -3 + 6x = 4 + -3

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

Combine like terms: 4 + -3 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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