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

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


Simplifying
6(3 + -2x) + 5 = 4(3x + 2) + -3
(3 * 6 + -2x * 6) + 5 = 4(3x + 2) + -3
(18 + -12x) + 5 = 4(3x + 2) + -3

Reorder the terms:
18 + 5 + -12x = 4(3x + 2) + -3

Combine like terms: 18 + 5 = 23
23 + -12x = 4(3x + 2) + -3

Reorder the terms:
23 + -12x = 4(2 + 3x) + -3
23 + -12x = (2 * 4 + 3x * 4) + -3
23 + -12x = (8 + 12x) + -3

Reorder the terms:
23 + -12x = 8 + -3 + 12x

Combine like terms: 8 + -3 = 5
23 + -12x = 5 + 12x

Solving
23 + -12x = 5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
23 + -12x + -12x = 5 + 12x + -12x

Combine like terms: -12x + -12x = -24x
23 + -24x = 5 + 12x + -12x

Combine like terms: 12x + -12x = 0
23 + -24x = 5 + 0
23 + -24x = 5

Add '-23' to each side of the equation.
23 + -23 + -24x = 5 + -23

Combine like terms: 23 + -23 = 0
0 + -24x = 5 + -23
-24x = 5 + -23

Combine like terms: 5 + -23 = -18
-24x = -18

Divide each side by '-24'.
x = 0.75

Simplifying
x = 0.75

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