20x+5(3x-1)-4(x+1)+20-2(x-2)=2+20(x+1)

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Solution for 20x+5(3x-1)-4(x+1)+20-2(x-2)=2+20(x+1) equation:


Simplifying
20x + 5(3x + -1) + -4(x + 1) + 20 + -2(x + -2) = 2 + 20(x + 1)

Reorder the terms:
20x + 5(-1 + 3x) + -4(x + 1) + 20 + -2(x + -2) = 2 + 20(x + 1)
20x + (-1 * 5 + 3x * 5) + -4(x + 1) + 20 + -2(x + -2) = 2 + 20(x + 1)
20x + (-5 + 15x) + -4(x + 1) + 20 + -2(x + -2) = 2 + 20(x + 1)

Reorder the terms:
20x + -5 + 15x + -4(1 + x) + 20 + -2(x + -2) = 2 + 20(x + 1)
20x + -5 + 15x + (1 * -4 + x * -4) + 20 + -2(x + -2) = 2 + 20(x + 1)
20x + -5 + 15x + (-4 + -4x) + 20 + -2(x + -2) = 2 + 20(x + 1)

Reorder the terms:
20x + -5 + 15x + -4 + -4x + 20 + -2(-2 + x) = 2 + 20(x + 1)
20x + -5 + 15x + -4 + -4x + 20 + (-2 * -2 + x * -2) = 2 + 20(x + 1)
20x + -5 + 15x + -4 + -4x + 20 + (4 + -2x) = 2 + 20(x + 1)

Reorder the terms:
-5 + -4 + 20 + 4 + 20x + 15x + -4x + -2x = 2 + 20(x + 1)

Combine like terms: -5 + -4 = -9
-9 + 20 + 4 + 20x + 15x + -4x + -2x = 2 + 20(x + 1)

Combine like terms: -9 + 20 = 11
11 + 4 + 20x + 15x + -4x + -2x = 2 + 20(x + 1)

Combine like terms: 11 + 4 = 15
15 + 20x + 15x + -4x + -2x = 2 + 20(x + 1)

Combine like terms: 20x + 15x = 35x
15 + 35x + -4x + -2x = 2 + 20(x + 1)

Combine like terms: 35x + -4x = 31x
15 + 31x + -2x = 2 + 20(x + 1)

Combine like terms: 31x + -2x = 29x
15 + 29x = 2 + 20(x + 1)

Reorder the terms:
15 + 29x = 2 + 20(1 + x)
15 + 29x = 2 + (1 * 20 + x * 20)
15 + 29x = 2 + (20 + 20x)

Combine like terms: 2 + 20 = 22
15 + 29x = 22 + 20x

Solving
15 + 29x = 22 + 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.
15 + 29x + -20x = 22 + 20x + -20x

Combine like terms: 29x + -20x = 9x
15 + 9x = 22 + 20x + -20x

Combine like terms: 20x + -20x = 0
15 + 9x = 22 + 0
15 + 9x = 22

Add '-15' to each side of the equation.
15 + -15 + 9x = 22 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 22 + -15
9x = 22 + -15

Combine like terms: 22 + -15 = 7
9x = 7

Divide each side by '9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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