4(3-2x)-7(x-5)+(7-4x)-(x+5)=20

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Solution for 4(3-2x)-7(x-5)+(7-4x)-(x+5)=20 equation:


Simplifying
4(3 + -2x) + -7(x + -5) + (7 + -4x) + -1(x + 5) = 20
(3 * 4 + -2x * 4) + -7(x + -5) + (7 + -4x) + -1(x + 5) = 20
(12 + -8x) + -7(x + -5) + (7 + -4x) + -1(x + 5) = 20

Reorder the terms:
12 + -8x + -7(-5 + x) + (7 + -4x) + -1(x + 5) = 20
12 + -8x + (-5 * -7 + x * -7) + (7 + -4x) + -1(x + 5) = 20
12 + -8x + (35 + -7x) + (7 + -4x) + -1(x + 5) = 20

Remove parenthesis around (7 + -4x)
12 + -8x + 35 + -7x + 7 + -4x + -1(x + 5) = 20

Reorder the terms:
12 + -8x + 35 + -7x + 7 + -4x + -1(5 + x) = 20
12 + -8x + 35 + -7x + 7 + -4x + (5 * -1 + x * -1) = 20
12 + -8x + 35 + -7x + 7 + -4x + (-5 + -1x) = 20

Reorder the terms:
12 + 35 + 7 + -5 + -8x + -7x + -4x + -1x = 20

Combine like terms: 12 + 35 = 47
47 + 7 + -5 + -8x + -7x + -4x + -1x = 20

Combine like terms: 47 + 7 = 54
54 + -5 + -8x + -7x + -4x + -1x = 20

Combine like terms: 54 + -5 = 49
49 + -8x + -7x + -4x + -1x = 20

Combine like terms: -8x + -7x = -15x
49 + -15x + -4x + -1x = 20

Combine like terms: -15x + -4x = -19x
49 + -19x + -1x = 20

Combine like terms: -19x + -1x = -20x
49 + -20x = 20

Solving
49 + -20x = 20

Solving for variable 'x'.

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

Add '-49' to each side of the equation.
49 + -49 + -20x = 20 + -49

Combine like terms: 49 + -49 = 0
0 + -20x = 20 + -49
-20x = 20 + -49

Combine like terms: 20 + -49 = -29
-20x = -29

Divide each side by '-20'.
x = 1.45

Simplifying
x = 1.45

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