4(x-1)-(x-5)=14

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Solution for 4(x-1)-(x-5)=14 equation:


Simplifying
4(x + -1) + -1(x + -5) = 14

Reorder the terms:
4(-1 + x) + -1(x + -5) = 14
(-1 * 4 + x * 4) + -1(x + -5) = 14
(-4 + 4x) + -1(x + -5) = 14

Reorder the terms:
-4 + 4x + -1(-5 + x) = 14
-4 + 4x + (-5 * -1 + x * -1) = 14
-4 + 4x + (5 + -1x) = 14

Reorder the terms:
-4 + 5 + 4x + -1x = 14

Combine like terms: -4 + 5 = 1
1 + 4x + -1x = 14

Combine like terms: 4x + -1x = 3x
1 + 3x = 14

Solving
1 + 3x = 14

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 14 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 14 + -1
3x = 14 + -1

Combine like terms: 14 + -1 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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