3(2x-3)=4x+1

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Solution for 3(2x-3)=4x+1 equation:


Simplifying
3(2x + -3) = 4x + 1

Reorder the terms:
3(-3 + 2x) = 4x + 1
(-3 * 3 + 2x * 3) = 4x + 1
(-9 + 6x) = 4x + 1

Reorder the terms:
-9 + 6x = 1 + 4x

Solving
-9 + 6x = 1 + 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.
-9 + 6x + -4x = 1 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-9 + 2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 2x = 1 + 0
-9 + 2x = 1

Add '9' to each side of the equation.
-9 + 9 + 2x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 1 + 9
2x = 1 + 9

Combine like terms: 1 + 9 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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