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

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


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

Remove parenthesis around (1 + -2x)
3x + 1 + -2x = 4 + -1(3x + -5)

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

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

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

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

Solving
1 + 1x = 9 + -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.
1 + 1x + 3x = 9 + -3x + 3x

Combine like terms: 1x + 3x = 4x
1 + 4x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 4x = 9 + 0
1 + 4x = 9

Add '-1' to each side of the equation.
1 + -1 + 4x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 9 + -1
4x = 9 + -1

Combine like terms: 9 + -1 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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