5x-4=3(6-x)

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


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

Reorder the terms:
-4 + 5x = 3(6 + -1x)
-4 + 5x = (6 * 3 + -1x * 3)
-4 + 5x = (18 + -3x)

Solving
-4 + 5x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 5x + 3x = 18 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-4 + 8x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 8x = 18 + 0
-4 + 8x = 18

Add '4' to each side of the equation.
-4 + 4 + 8x = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 18 + 4
8x = 18 + 4

Combine like terms: 18 + 4 = 22
8x = 22

Divide each side by '8'.
x = 2.75

Simplifying
x = 2.75

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