4(3x-2)=3-x+2(8-x)

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Solution for 4(3x-2)=3-x+2(8-x) equation:


Simplifying
4(3x + -2) = 3 + -1x + 2(8 + -1x)

Reorder the terms:
4(-2 + 3x) = 3 + -1x + 2(8 + -1x)
(-2 * 4 + 3x * 4) = 3 + -1x + 2(8 + -1x)
(-8 + 12x) = 3 + -1x + 2(8 + -1x)
-8 + 12x = 3 + -1x + (8 * 2 + -1x * 2)
-8 + 12x = 3 + -1x + (16 + -2x)

Reorder the terms:
-8 + 12x = 3 + 16 + -1x + -2x

Combine like terms: 3 + 16 = 19
-8 + 12x = 19 + -1x + -2x

Combine like terms: -1x + -2x = -3x
-8 + 12x = 19 + -3x

Solving
-8 + 12x = 19 + -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.
-8 + 12x + 3x = 19 + -3x + 3x

Combine like terms: 12x + 3x = 15x
-8 + 15x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 15x = 19 + 0
-8 + 15x = 19

Add '8' to each side of the equation.
-8 + 8 + 15x = 19 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 19 + 8
15x = 19 + 8

Combine like terms: 19 + 8 = 27
15x = 27

Divide each side by '15'.
x = 1.8

Simplifying
x = 1.8

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