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

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


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

Reorder the terms:
2x + 3(-4 + x) = (2x + 3)
2x + (-4 * 3 + x * 3) = (2x + 3)
2x + (-12 + 3x) = (2x + 3)

Reorder the terms:
-12 + 2x + 3x = (2x + 3)

Combine like terms: 2x + 3x = 5x
-12 + 5x = (2x + 3)

Reorder the terms:
-12 + 5x = (3 + 2x)

Remove parenthesis around (3 + 2x)
-12 + 5x = 3 + 2x

Solving
-12 + 5x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 5x + -2x = 3 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-12 + 3x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 3x = 3 + 0
-12 + 3x = 3

Add '12' to each side of the equation.
-12 + 12 + 3x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 3 + 12
3x = 3 + 12

Combine like terms: 3 + 12 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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