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

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


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

Reorder the terms:
3(-5 + x) = -1(x + -5)
(-5 * 3 + x * 3) = -1(x + -5)
(-15 + 3x) = -1(x + -5)

Reorder the terms:
-15 + 3x = -1(-5 + x)
-15 + 3x = (-5 * -1 + x * -1)
-15 + 3x = (5 + -1x)

Solving
-15 + 3x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 3x + x = 5 + -1x + x

Combine like terms: 3x + x = 4x
-15 + 4x = 5 + -1x + x

Combine like terms: -1x + x = 0
-15 + 4x = 5 + 0
-15 + 4x = 5

Add '15' to each side of the equation.
-15 + 15 + 4x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 5 + 15
4x = 5 + 15

Combine like terms: 5 + 15 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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