3(x-5)=1-x

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


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

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

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

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

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

Add '15' to each side of the equation.
-15 + 15 + 4x = 1 + 15

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

Combine like terms: 1 + 15 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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