5-(3x-2)-(x-3)=4(4x+5)+13

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Solution for 5-(3x-2)-(x-3)=4(4x+5)+13 equation: 


Simplifying
5 + -1(3x + -2) + -1(x + -3) = 4(4x + 5) + 13

Reorder the terms:
5 + -1(-2 + 3x) + -1(x + -3) = 4(4x + 5) + 13
5 + (-2 * -1 + 3x * -1) + -1(x + -3) = 4(4x + 5) + 13
5 + (2 + -3x) + -1(x + -3) = 4(4x + 5) + 13

Reorder the terms:
5 + 2 + -3x + -1(-3 + x) = 4(4x + 5) + 13
5 + 2 + -3x + (-3 * -1 + x * -1) = 4(4x + 5) + 13
5 + 2 + -3x + (3 + -1x) = 4(4x + 5) + 13

Reorder the terms:
5 + 2 + 3 + -3x + -1x = 4(4x + 5) + 13

Combine like terms: 5 + 2 = 7
7 + 3 + -3x + -1x = 4(4x + 5) + 13

Combine like terms: 7 + 3 = 10
10 + -3x + -1x = 4(4x + 5) + 13

Combine like terms: -3x + -1x = -4x
10 + -4x = 4(4x + 5) + 13

Reorder the terms:
10 + -4x = 4(5 + 4x) + 13
10 + -4x = (5 * 4 + 4x * 4) + 13
10 + -4x = (20 + 16x) + 13

Reorder the terms:
10 + -4x = 20 + 13 + 16x

Combine like terms: 20 + 13 = 33
10 + -4x = 33 + 16x

Solving
10 + -4x = 33 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
10 + -4x + -16x = 33 + 16x + -16x

Combine like terms: -4x + -16x = -20x
10 + -20x = 33 + 16x + -16x

Combine like terms: 16x + -16x = 0
10 + -20x = 33 + 0
10 + -20x = 33

Add '-10' to each side of the equation.
10 + -10 + -20x = 33 + -10

Combine like terms: 10 + -10 = 0
0 + -20x = 33 + -10
-20x = 33 + -10

Combine like terms: 33 + -10 = 23
-20x = 23

Divide each side by '-20'.
x = -1.15

Simplifying
x = -1.15

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