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

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


Simplifying
5(4 + -2x) + -3 = 6 + (3x + -2)
(4 * 5 + -2x * 5) + -3 = 6 + (3x + -2)
(20 + -10x) + -3 = 6 + (3x + -2)

Reorder the terms:
20 + -3 + -10x = 6 + (3x + -2)

Combine like terms: 20 + -3 = 17
17 + -10x = 6 + (3x + -2)

Reorder the terms:
17 + -10x = 6 + (-2 + 3x)

Remove parenthesis around (-2 + 3x)
17 + -10x = 6 + -2 + 3x

Combine like terms: 6 + -2 = 4
17 + -10x = 4 + 3x

Solving
17 + -10x = 4 + 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.
17 + -10x + -3x = 4 + 3x + -3x

Combine like terms: -10x + -3x = -13x
17 + -13x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -13x = 4 + 0
17 + -13x = 4

Add '-17' to each side of the equation.
17 + -17 + -13x = 4 + -17

Combine like terms: 17 + -17 = 0
0 + -13x = 4 + -17
-13x = 4 + -17

Combine like terms: 4 + -17 = -13
-13x = -13

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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