4(x-1)-(5-2x)=5

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Solution for 4(x-1)-(5-2x)=5 equation: 


Simplifying
4(x + -1) + -1(5 + -2x) = 5

Reorder the terms:
4(-1 + x) + -1(5 + -2x) = 5
(-1 * 4 + x * 4) + -1(5 + -2x) = 5
(-4 + 4x) + -1(5 + -2x) = 5
-4 + 4x + (5 * -1 + -2x * -1) = 5
-4 + 4x + (-5 + 2x) = 5

Reorder the terms:
-4 + -5 + 4x + 2x = 5

Combine like terms: -4 + -5 = -9
-9 + 4x + 2x = 5

Combine like terms: 4x + 2x = 6x
-9 + 6x = 5

Solving
-9 + 6x = 5

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 6x = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = 5 + 9
6x = 5 + 9

Combine like terms: 5 + 9 = 14
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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