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

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


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

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

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

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

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

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

Solving
-12 + 5x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 5x + -1x = -3 + x + -1x

Combine like terms: 5x + -1x = 4x
-12 + 4x = -3 + x + -1x

Combine like terms: x + -1x = 0
-12 + 4x = -3 + 0
-12 + 4x = -3

Add '12' to each side of the equation.
-12 + 12 + 4x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = -3 + 12
4x = -3 + 12

Combine like terms: -3 + 12 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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