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

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


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

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

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

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

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

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

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

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

Reorder the terms:
1 + 3x = -8 + 4x

Solving
1 + 3x = -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 + 3x + -4x = -8 + 4x + -4x

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

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

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

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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