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

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


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

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

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

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

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

Solving
1 + 1x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + 1x + 2x = 6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
1 + 3x = 6 + 0
1 + 3x = 6

Add '-1' to each side of the equation.
1 + -1 + 3x = 6 + -1

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

Combine like terms: 6 + -1 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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