(4x-8)=(x-4)+(2x+5)

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Solution for (4x-8)=(x-4)+(2x+5) equation:


Simplifying
(4x + -8) = (x + -4) + (2x + 5)

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

Remove parenthesis around (-8 + 4x)
-8 + 4x = (x + -4) + (2x + 5)

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

Remove parenthesis around (-4 + x)
-8 + 4x = -4 + x + (2x + 5)

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

Remove parenthesis around (5 + 2x)
-8 + 4x = -4 + x + 5 + 2x

Reorder the terms:
-8 + 4x = -4 + 5 + x + 2x

Combine like terms: -4 + 5 = 1
-8 + 4x = 1 + x + 2x

Combine like terms: x + 2x = 3x
-8 + 4x = 1 + 3x

Solving
-8 + 4x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 4x + -3x = 1 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-8 + 1x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 1x = 1 + 0
-8 + 1x = 1

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

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

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

Divide each side by '1'.
x = 9

Simplifying
x = 9

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