5x-4+3x=6x+4(2-x)

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Solution for 5x-4+3x=6x+4(2-x) equation:


Simplifying
5x + -4 + 3x = 6x + 4(2 + -1x)

Reorder the terms:
-4 + 5x + 3x = 6x + 4(2 + -1x)

Combine like terms: 5x + 3x = 8x
-4 + 8x = 6x + 4(2 + -1x)
-4 + 8x = 6x + (2 * 4 + -1x * 4)
-4 + 8x = 6x + (8 + -4x)

Reorder the terms:
-4 + 8x = 8 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-4 + 8x = 8 + 2x

Solving
-4 + 8x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 8x + -2x = 8 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-4 + 6x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 6x = 8 + 0
-4 + 6x = 8

Add '4' to each side of the equation.
-4 + 4 + 6x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 8 + 4
6x = 8 + 4

Combine like terms: 8 + 4 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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