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

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


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

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

Reorder the terms:
-3 + 3x = 5(-2 + x)
-3 + 3x = (-2 * 5 + x * 5)
-3 + 3x = (-10 + 5x)

Solving
-3 + 3x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-3 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -2x = -10 + 0
-3 + -2x = -10

Add '3' to each side of the equation.
-3 + 3 + -2x = -10 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -10 + 3
-2x = -10 + 3

Combine like terms: -10 + 3 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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