2x-4(2-x)=5-(2x+3)

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Solution for 2x-4(2-x)=5-(2x+3) equation:


Simplifying
2x + -4(2 + -1x) = 5 + -1(2x + 3)
2x + (2 * -4 + -1x * -4) = 5 + -1(2x + 3)
2x + (-8 + 4x) = 5 + -1(2x + 3)

Reorder the terms:
-8 + 2x + 4x = 5 + -1(2x + 3)

Combine like terms: 2x + 4x = 6x
-8 + 6x = 5 + -1(2x + 3)

Reorder the terms:
-8 + 6x = 5 + -1(3 + 2x)
-8 + 6x = 5 + (3 * -1 + 2x * -1)
-8 + 6x = 5 + (-3 + -2x)

Combine like terms: 5 + -3 = 2
-8 + 6x = 2 + -2x

Solving
-8 + 6x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-8 + 6x + 2x = 2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-8 + 8x = 2 + 0
-8 + 8x = 2

Add '8' to each side of the equation.
-8 + 8 + 8x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 2 + 8
8x = 2 + 8

Combine like terms: 2 + 8 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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