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

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


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

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

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

Reorder the terms:
-1 + -2x = 4(2 + x)
-1 + -2x = (2 * 4 + x * 4)
-1 + -2x = (8 + 4x)

Solving
-1 + -2x = 8 + 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.
-1 + -2x + -4x = 8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-1 + -6x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -6x = 8 + 0
-1 + -6x = 8

Add '1' to each side of the equation.
-1 + 1 + -6x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = 8 + 1
-6x = 8 + 1

Combine like terms: 8 + 1 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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