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

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


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

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

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

Reorder the terms:
1 + 1x = 10 + -1 + -5x

Combine like terms: 10 + -1 = 9
1 + 1x = 9 + -5x

Solving
1 + 1x = 9 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + 1x + 5x = 9 + -5x + 5x

Combine like terms: 1x + 5x = 6x
1 + 6x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 6x = 9 + 0
1 + 6x = 9

Add '-1' to each side of the equation.
1 + -1 + 6x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 9 + -1
6x = 9 + -1

Combine like terms: 9 + -1 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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