3(x-14)=274-x

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Solution for 3(x-14)=274-x equation: 


Simplifying
3(x + -14) = 274 + -1x

Reorder the terms:
3(-14 + x) = 274 + -1x
(-14 * 3 + x * 3) = 274 + -1x
(-42 + 3x) = 274 + -1x

Solving
-42 + 3x = 274 + -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.
-42 + 3x + x = 274 + -1x + x

Combine like terms: 3x + x = 4x
-42 + 4x = 274 + -1x + x

Combine like terms: -1x + x = 0
-42 + 4x = 274 + 0
-42 + 4x = 274

Add '42' to each side of the equation.
-42 + 42 + 4x = 274 + 42

Combine like terms: -42 + 42 = 0
0 + 4x = 274 + 42
4x = 274 + 42

Combine like terms: 274 + 42 = 316
4x = 316

Divide each side by '4'.
x = 79

Simplifying
x = 79

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