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

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


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

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

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

Combine like terms: 2 + 12 = 14
-4 + 3x = 14 + -4x

Solving
-4 + 3x = 14 + -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.
-4 + 3x + 4x = 14 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-4 + 7x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 7x = 14 + 0
-4 + 7x = 14

Add '4' to each side of the equation.
-4 + 4 + 7x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 14 + 4
7x = 14 + 4

Combine like terms: 14 + 4 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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