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

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


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

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

Reorder the terms:
3 + 5x = 2(-3 + 2x)
3 + 5x = (-3 * 2 + 2x * 2)
3 + 5x = (-6 + 4x)

Solving
3 + 5x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 5x + -4x = -6 + 4x + -4x

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

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

Add '-3' to each side of the equation.
3 + -3 + 1x = -6 + -3

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

Combine like terms: -6 + -3 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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