5x-4=3(4-x)+2x

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Solution for 5x-4=3(4-x)+2x equation:


Simplifying
5x + -4 = 3(4 + -1x) + 2x

Reorder the terms:
-4 + 5x = 3(4 + -1x) + 2x
-4 + 5x = (4 * 3 + -1x * 3) + 2x
-4 + 5x = (12 + -3x) + 2x

Combine like terms: -3x + 2x = -1x
-4 + 5x = 12 + -1x

Solving
-4 + 5x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 5x + x = 12 + -1x + x

Combine like terms: 5x + x = 6x
-4 + 6x = 12 + -1x + x

Combine like terms: -1x + x = 0
-4 + 6x = 12 + 0
-4 + 6x = 12

Add '4' to each side of the equation.
-4 + 4 + 6x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 12 + 4
6x = 12 + 4

Combine like terms: 12 + 4 = 16
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667

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