(4x+4)-(3x-1)=4x+(5x-3)

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Solution for (4x+4)-(3x-1)=4x+(5x-3) equation:


Simplifying
(4x + 4) + -1(3x + -1) = 4x + (5x + -3)

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

Remove parenthesis around (4 + 4x)
4 + 4x + -1(3x + -1) = 4x + (5x + -3)

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

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

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

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

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

Remove parenthesis around (-3 + 5x)
5 + 1x = 4x + -3 + 5x

Reorder the terms:
5 + 1x = -3 + 4x + 5x

Combine like terms: 4x + 5x = 9x
5 + 1x = -3 + 9x

Solving
5 + 1x = -3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
5 + 1x + -9x = -3 + 9x + -9x

Combine like terms: 1x + -9x = -8x
5 + -8x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -8x = -3 + 0
5 + -8x = -3

Add '-5' to each side of the equation.
5 + -5 + -8x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -3 + -5
-8x = -3 + -5

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

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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