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

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


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

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

Combine like terms: 2 + 5 = 7
7 + -1x = 4(x + -1)

Reorder the terms:
7 + -1x = 4(-1 + x)
7 + -1x = (-1 * 4 + x * 4)
7 + -1x = (-4 + 4x)

Solving
7 + -1x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + -1x + -4x = -4 + 4x + -4x

Combine like terms: -1x + -4x = -5x
7 + -5x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -5x = -4 + 0
7 + -5x = -4

Add '-7' to each side of the equation.
7 + -7 + -5x = -4 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -4 + -7
-5x = -4 + -7

Combine like terms: -4 + -7 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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