2x+3=2(3x-8)

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Solution for 2x+3=2(3x-8) equation:


Simplifying
2x + 3 = 2(3x + -8)

Reorder the terms:
3 + 2x = 2(3x + -8)

Reorder the terms:
3 + 2x = 2(-8 + 3x)
3 + 2x = (-8 * 2 + 3x * 2)
3 + 2x = (-16 + 6x)

Solving
3 + 2x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 2x + -6x = -16 + 6x + -6x

Combine like terms: 2x + -6x = -4x
3 + -4x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -4x = -16 + 0
3 + -4x = -16

Add '-3' to each side of the equation.
3 + -3 + -4x = -16 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -16 + -3
-4x = -16 + -3

Combine like terms: -16 + -3 = -19
-4x = -19

Divide each side by '-4'.
x = 4.75

Simplifying
x = 4.75

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