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

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


Simplifying
3 + 2(3 + -2x) + 1 = 5 + -3(1 + -1x)
3 + (3 * 2 + -2x * 2) + 1 = 5 + -3(1 + -1x)
3 + (6 + -4x) + 1 = 5 + -3(1 + -1x)

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

Combine like terms: 3 + 6 = 9
9 + 1 + -4x = 5 + -3(1 + -1x)

Combine like terms: 9 + 1 = 10
10 + -4x = 5 + -3(1 + -1x)
10 + -4x = 5 + (1 * -3 + -1x * -3)
10 + -4x = 5 + (-3 + 3x)

Combine like terms: 5 + -3 = 2
10 + -4x = 2 + 3x

Solving
10 + -4x = 2 + 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.
10 + -4x + -3x = 2 + 3x + -3x

Combine like terms: -4x + -3x = -7x
10 + -7x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -7x = 2 + 0
10 + -7x = 2

Add '-10' to each side of the equation.
10 + -10 + -7x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 2 + -10
-7x = 2 + -10

Combine like terms: 2 + -10 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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