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

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


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

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

Reorder the terms:
-5 + 1x = 3(-3 + x)
-5 + 1x = (-3 * 3 + x * 3)
-5 + 1x = (-9 + 3x)

Solving
-5 + 1x = -9 + 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.
-5 + 1x + -3x = -9 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-5 + -2x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -2x = -9 + 0
-5 + -2x = -9

Add '5' to each side of the equation.
-5 + 5 + -2x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -9 + 5
-2x = -9 + 5

Combine like terms: -9 + 5 = -4
-2x = -4

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

Simplifying
x = 2

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