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

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


Simplifying
4(x + -3(7 + -1(5 + -1x))) = 4x + 3
4(x + -3(7 + (5 * -1 + -1x * -1))) = 4x + 3
4(x + -3(7 + (-5 + 1x))) = 4x + 3

Combine like terms: 7 + -5 = 2
4(x + -3(2 + 1x)) = 4x + 3
4(x + (2 * -3 + 1x * -3)) = 4x + 3
4(x + (-6 + -3x)) = 4x + 3

Reorder the terms:
4(-6 + x + -3x) = 4x + 3

Combine like terms: x + -3x = -2x
4(-6 + -2x) = 4x + 3
(-6 * 4 + -2x * 4) = 4x + 3
(-24 + -8x) = 4x + 3

Reorder the terms:
-24 + -8x = 3 + 4x

Solving
-24 + -8x = 3 + 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.
-24 + -8x + -4x = 3 + 4x + -4x

Combine like terms: -8x + -4x = -12x
-24 + -12x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + -12x = 3 + 0
-24 + -12x = 3

Add '24' to each side of the equation.
-24 + 24 + -12x = 3 + 24

Combine like terms: -24 + 24 = 0
0 + -12x = 3 + 24
-12x = 3 + 24

Combine like terms: 3 + 24 = 27
-12x = 27

Divide each side by '-12'.
x = -2.25

Simplifying
x = -2.25

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