3x-2=4[4-x]+1

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Solution for 3x-2=4[4-x]+1 equation:


Simplifying
3x + -2 = 4[4 + -1x] + 1

Reorder the terms:
-2 + 3x = 4[4 + -1x] + 1
-2 + 3x = [4 * 4 + -1x * 4] + 1
-2 + 3x = [16 + -4x] + 1

Reorder the terms:
-2 + 3x = 16 + 1 + -4x

Combine like terms: 16 + 1 = 17
-2 + 3x = 17 + -4x

Solving
-2 + 3x = 17 + -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.
-2 + 3x + 4x = 17 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-2 + 7x = 17 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 7x = 17 + 0
-2 + 7x = 17

Add '2' to each side of the equation.
-2 + 2 + 7x = 17 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 17 + 2
7x = 17 + 2

Combine like terms: 17 + 2 = 19
7x = 19

Divide each side by '7'.
x = 2.714285714

Simplifying
x = 2.714285714

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