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

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


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

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

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

Solving
-6 + 3x = 5 + -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.
-6 + 3x + 5x = 5 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-6 + 8x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 8x = 5 + 0
-6 + 8x = 5

Add '6' to each side of the equation.
-6 + 6 + 8x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 5 + 6
8x = 5 + 6

Combine like terms: 5 + 6 = 11
8x = 11

Divide each side by '8'.
x = 1.375

Simplifying
x = 1.375

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