2x+3=3(2x+3)-4

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Solution for 2x+3=3(2x+3)-4 equation:


Simplifying
2x + 3 = 3(2x + 3) + -4

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

Reorder the terms:
3 + 2x = 3(3 + 2x) + -4
3 + 2x = (3 * 3 + 2x * 3) + -4
3 + 2x = (9 + 6x) + -4

Reorder the terms:
3 + 2x = 9 + -4 + 6x

Combine like terms: 9 + -4 = 5
3 + 2x = 5 + 6x

Solving
3 + 2x = 5 + 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 = 5 + 6x + -6x

Combine like terms: 2x + -6x = -4x
3 + -4x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -4x = 5 + 0
3 + -4x = 5

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

Combine like terms: 3 + -3 = 0
0 + -4x = 5 + -3
-4x = 5 + -3

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

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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