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

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


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

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

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

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

Reorder the terms:
1 + 3x = -1 + 4x

Solving
1 + 3x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + 3x + -4x = -1 + 4x + -4x

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

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

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

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

Combine like terms: -1 + -1 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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