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

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


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

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

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

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

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

Solving
-2 + 5x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 5x + -3x = -3 + 3x + -3x

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

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

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

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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