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

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


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

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

Reorder the terms:
-2 + 2x = 5(-3 + x)
-2 + 2x = (-3 * 5 + x * 5)
-2 + 2x = (-15 + 5x)

Solving
-2 + 2x = -15 + 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.
-2 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-2 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -3x = -15 + 0
-2 + -3x = -15

Add '2' to each side of the equation.
-2 + 2 + -3x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -15 + 2
-3x = -15 + 2

Combine like terms: -15 + 2 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333

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