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

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


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

Reorder the terms:
5 + -3(-2 + x) = 2(x + -1)
5 + (-2 * -3 + x * -3) = 2(x + -1)
5 + (6 + -3x) = 2(x + -1)

Combine like terms: 5 + 6 = 11
11 + -3x = 2(x + -1)

Reorder the terms:
11 + -3x = 2(-1 + x)
11 + -3x = (-1 * 2 + x * 2)
11 + -3x = (-2 + 2x)

Solving
11 + -3x = -2 + 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.
11 + -3x + -2x = -2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
11 + -5x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -5x = -2 + 0
11 + -5x = -2

Add '-11' to each side of the equation.
11 + -11 + -5x = -2 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -2 + -11
-5x = -2 + -11

Combine like terms: -2 + -11 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6

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