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

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


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

Reorder the terms:
4(-2 + x) + -3x = 5(2 + -1x)
(-2 * 4 + x * 4) + -3x = 5(2 + -1x)
(-8 + 4x) + -3x = 5(2 + -1x)

Combine like terms: 4x + -3x = 1x
-8 + 1x = 5(2 + -1x)
-8 + 1x = (2 * 5 + -1x * 5)
-8 + 1x = (10 + -5x)

Solving
-8 + 1x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-8 + 1x + 5x = 10 + -5x + 5x

Combine like terms: 1x + 5x = 6x
-8 + 6x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 6x = 10 + 0
-8 + 6x = 10

Add '8' to each side of the equation.
-8 + 8 + 6x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 10 + 8
6x = 10 + 8

Combine like terms: 10 + 8 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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