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

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


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

Reorder the terms:
-4 + 2x = 4(5 + -1x) + 3x
-4 + 2x = (5 * 4 + -1x * 4) + 3x
-4 + 2x = (20 + -4x) + 3x

Combine like terms: -4x + 3x = -1x
-4 + 2x = 20 + -1x

Solving
-4 + 2x = 20 + -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 + 2x + x = 20 + -1x + x

Combine like terms: 2x + x = 3x
-4 + 3x = 20 + -1x + x

Combine like terms: -1x + x = 0
-4 + 3x = 20 + 0
-4 + 3x = 20

Add '4' to each side of the equation.
-4 + 4 + 3x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 20 + 4
3x = 20 + 4

Combine like terms: 20 + 4 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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