(4x-1)-(x+10)=91

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Solution for (4x-1)-(x+10)=91 equation:


Simplifying
(4x + -1) + -1(x + 10) = 91

Reorder the terms:
(-1 + 4x) + -1(x + 10) = 91

Remove parenthesis around (-1 + 4x)
-1 + 4x + -1(x + 10) = 91

Reorder the terms:
-1 + 4x + -1(10 + x) = 91
-1 + 4x + (10 * -1 + x * -1) = 91
-1 + 4x + (-10 + -1x) = 91

Reorder the terms:
-1 + -10 + 4x + -1x = 91

Combine like terms: -1 + -10 = -11
-11 + 4x + -1x = 91

Combine like terms: 4x + -1x = 3x
-11 + 3x = 91

Solving
-11 + 3x = 91

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 91 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 91 + 11
3x = 91 + 11

Combine like terms: 91 + 11 = 102
3x = 102

Divide each side by '3'.
x = 34

Simplifying
x = 34

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