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

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


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

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

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

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

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

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

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

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

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

Solving
-2 + 8x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 8x + -1x = 5 + x + -1x

Combine like terms: 8x + -1x = 7x
-2 + 7x = 5 + x + -1x

Combine like terms: x + -1x = 0
-2 + 7x = 5 + 0
-2 + 7x = 5

Add '2' to each side of the equation.
-2 + 2 + 7x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 5 + 2
7x = 5 + 2

Combine like terms: 5 + 2 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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