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

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Solution for -4(2-3x)=3(2x-1)+5 equation: 


Simplifying
-4(2 + -3x) = 3(2x + -1) + 5
(2 * -4 + -3x * -4) = 3(2x + -1) + 5
(-8 + 12x) = 3(2x + -1) + 5

Reorder the terms:
-8 + 12x = 3(-1 + 2x) + 5
-8 + 12x = (-1 * 3 + 2x * 3) + 5
-8 + 12x = (-3 + 6x) + 5

Reorder the terms:
-8 + 12x = -3 + 5 + 6x

Combine like terms: -3 + 5 = 2
-8 + 12x = 2 + 6x

Solving
-8 + 12x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 12x + -6x = 2 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-8 + 6x = 2 + 6x + -6x

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

Add '8' to each side of the equation.
-8 + 8 + 6x = 2 + 8

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

Combine like terms: 2 + 8 = 10
6x = 10

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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