# 7x-(4-5x)=4x+(5-9x)-(3-3x)

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## Solution for 7x-(4-5x)=4x+(5-9x)-(3-3x) equation:

Simplifying
7x + -1(4 + -5x) = 4x + (5 + -9x) + -1(3 + -3x)
7x + (4 * -1 + -5x * -1) = 4x + (5 + -9x) + -1(3 + -3x)
7x + (-4 + 5x) = 4x + (5 + -9x) + -1(3 + -3x)
Reorder the terms:
-4 + 7x + 5x = 4x + (5 + -9x) + -1(3 + -3x)
Combine like terms: 7x + 5x = 12x
-4 + 12x = 4x + (5 + -9x) + -1(3 + -3x)
Remove parenthesis around (5 + -9x)
-4 + 12x = 4x + 5 + -9x + -1(3 + -3x)
-4 + 12x = 4x + 5 + -9x + (3 * -1 + -3x * -1)
-4 + 12x = 4x + 5 + -9x + (-3 + 3x)
Reorder the terms:
-4 + 12x = 5 + -3 + 4x + -9x + 3x
Combine like terms: 5 + -3 = 2
-4 + 12x = 2 + 4x + -9x + 3x
Combine like terms: 4x + -9x = -5x
-4 + 12x = 2 + -5x + 3x
Combine like terms: -5x + 3x = -2x
-4 + 12x = 2 + -2x
Solving
-4 + 12x = 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.
-4 + 12x + 2x = 2 + -2x + 2x
Combine like terms: 12x + 2x = 14x
-4 + 14x = 2 + -2x + 2x
Combine like terms: -2x + 2x = 0
-4 + 14x = 2 + 0
-4 + 14x = 2
Add '4' to each side of the equation.
-4 + 4 + 14x = 2 + 4
Combine like terms: -4 + 4 = 0
0 + 14x = 2 + 4
14x = 2 + 4
Combine like terms: 2 + 4 = 6
14x = 6
Divide each side by '14'.
x = 0.4285714286
Simplifying
x = 0.4285714286`