5(x+7)-4(-4x-5)=20(x+1)+8

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Solution for 5(x+7)-4(-4x-5)=20(x+1)+8 equation:


Simplifying
5(x + 7) + -4(-4x + -5) = 20(x + 1) + 8

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

Reorder the terms:
35 + 5x + -4(-5 + -4x) = 20(x + 1) + 8
35 + 5x + (-5 * -4 + -4x * -4) = 20(x + 1) + 8
35 + 5x + (20 + 16x) = 20(x + 1) + 8

Reorder the terms:
35 + 20 + 5x + 16x = 20(x + 1) + 8

Combine like terms: 35 + 20 = 55
55 + 5x + 16x = 20(x + 1) + 8

Combine like terms: 5x + 16x = 21x
55 + 21x = 20(x + 1) + 8

Reorder the terms:
55 + 21x = 20(1 + x) + 8
55 + 21x = (1 * 20 + x * 20) + 8
55 + 21x = (20 + 20x) + 8

Reorder the terms:
55 + 21x = 20 + 8 + 20x

Combine like terms: 20 + 8 = 28
55 + 21x = 28 + 20x

Solving
55 + 21x = 28 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
55 + 21x + -20x = 28 + 20x + -20x

Combine like terms: 21x + -20x = 1x
55 + 1x = 28 + 20x + -20x

Combine like terms: 20x + -20x = 0
55 + 1x = 28 + 0
55 + 1x = 28

Add '-55' to each side of the equation.
55 + -55 + 1x = 28 + -55

Combine like terms: 55 + -55 = 0
0 + 1x = 28 + -55
1x = 28 + -55

Combine like terms: 28 + -55 = -27
1x = -27

Divide each side by '1'.
x = -27

Simplifying
x = -27

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