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

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


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

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

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

Combine like terms: 5 + 1 = 6
-3 + 3x = 6 + -2x

Solving
-3 + 3x = 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.
-3 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-3 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 5x = 6 + 0
-3 + 5x = 6

Add '3' to each side of the equation.
-3 + 3 + 5x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 6 + 3
5x = 6 + 3

Combine like terms: 6 + 3 = 9
5x = 9

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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