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

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


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

Reorder the terms:
6 + 2x + -3x = 3x + -1

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

Reorder the terms:
6 + -1x = -1 + 3x

Solving
6 + -1x = -1 + 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.
6 + -1x + -3x = -1 + 3x + -3x

Combine like terms: -1x + -3x = -4x
6 + -4x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -4x = -1 + 0
6 + -4x = -1

Add '-6' to each side of the equation.
6 + -6 + -4x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -1 + -6
-4x = -1 + -6

Combine like terms: -1 + -6 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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