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

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


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

Reorder the terms:
4 + -2(-3 + x) + 2x = 5 + 3(2x + -1) + -3
4 + (-3 * -2 + x * -2) + 2x = 5 + 3(2x + -1) + -3
4 + (6 + -2x) + 2x = 5 + 3(2x + -1) + -3

Combine like terms: 4 + 6 = 10
10 + -2x + 2x = 5 + 3(2x + -1) + -3

Combine like terms: -2x + 2x = 0
10 + 0 = 5 + 3(2x + -1) + -3
10 = 5 + 3(2x + -1) + -3

Reorder the terms:
10 = 5 + 3(-1 + 2x) + -3
10 = 5 + (-1 * 3 + 2x * 3) + -3
10 = 5 + (-3 + 6x) + -3

Reorder the terms:
10 = 5 + -3 + -3 + 6x

Combine like terms: 5 + -3 = 2
10 = 2 + -3 + 6x

Combine like terms: 2 + -3 = -1
10 = -1 + 6x

Solving
10 = -1 + 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.
10 + -6x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -6x = -1 + 0
10 + -6x = -1

Add '-10' to each side of the equation.
10 + -10 + -6x = -1 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -1 + -10
-6x = -1 + -10

Combine like terms: -1 + -10 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

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