(3x-4)+(x+6)=271

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Solution for (3x-4)+(x+6)=271 equation:


Simplifying
(3x + -4) + (x + 6) = 271

Reorder the terms:
(-4 + 3x) + (x + 6) = 271

Remove parenthesis around (-4 + 3x)
-4 + 3x + (x + 6) = 271

Reorder the terms:
-4 + 3x + (6 + x) = 271

Remove parenthesis around (6 + x)
-4 + 3x + 6 + x = 271

Reorder the terms:
-4 + 6 + 3x + x = 271

Combine like terms: -4 + 6 = 2
2 + 3x + x = 271

Combine like terms: 3x + x = 4x
2 + 4x = 271

Solving
2 + 4x = 271

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 4x = 271 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 271 + -2
4x = 271 + -2

Combine like terms: 271 + -2 = 269
4x = 269

Divide each side by '4'.
x = 67.25

Simplifying
x = 67.25

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