3(x-4)=19-x

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Solution for 3(x-4)=19-x equation:


Simplifying
3(x + -4) = 19 + -1x

Reorder the terms:
3(-4 + x) = 19 + -1x
(-4 * 3 + x * 3) = 19 + -1x
(-12 + 3x) = 19 + -1x

Solving
-12 + 3x = 19 + -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.
-12 + 3x + x = 19 + -1x + x

Combine like terms: 3x + x = 4x
-12 + 4x = 19 + -1x + x

Combine like terms: -1x + x = 0
-12 + 4x = 19 + 0
-12 + 4x = 19

Add '12' to each side of the equation.
-12 + 12 + 4x = 19 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 19 + 12
4x = 19 + 12

Combine like terms: 19 + 12 = 31
4x = 31

Divide each side by '4'.
x = 7.75

Simplifying
x = 7.75

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