2(x+1)+3(2x+2)+4(3x+3)+5(4x+4)=640

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Solution for 2(x+1)+3(2x+2)+4(3x+3)+5(4x+4)=640 equation: 


Simplifying
2(x + 1) + 3(2x + 2) + 4(3x + 3) + 5(4x + 4) = 640

Reorder the terms:
2(1 + x) + 3(2x + 2) + 4(3x + 3) + 5(4x + 4) = 640
(1 * 2 + x * 2) + 3(2x + 2) + 4(3x + 3) + 5(4x + 4) = 640
(2 + 2x) + 3(2x + 2) + 4(3x + 3) + 5(4x + 4) = 640

Reorder the terms:
2 + 2x + 3(2 + 2x) + 4(3x + 3) + 5(4x + 4) = 640
2 + 2x + (2 * 3 + 2x * 3) + 4(3x + 3) + 5(4x + 4) = 640
2 + 2x + (6 + 6x) + 4(3x + 3) + 5(4x + 4) = 640

Reorder the terms:
2 + 2x + 6 + 6x + 4(3 + 3x) + 5(4x + 4) = 640
2 + 2x + 6 + 6x + (3 * 4 + 3x * 4) + 5(4x + 4) = 640
2 + 2x + 6 + 6x + (12 + 12x) + 5(4x + 4) = 640

Reorder the terms:
2 + 2x + 6 + 6x + 12 + 12x + 5(4 + 4x) = 640
2 + 2x + 6 + 6x + 12 + 12x + (4 * 5 + 4x * 5) = 640
2 + 2x + 6 + 6x + 12 + 12x + (20 + 20x) = 640

Reorder the terms:
2 + 6 + 12 + 20 + 2x + 6x + 12x + 20x = 640

Combine like terms: 2 + 6 = 8
8 + 12 + 20 + 2x + 6x + 12x + 20x = 640

Combine like terms: 8 + 12 = 20
20 + 20 + 2x + 6x + 12x + 20x = 640

Combine like terms: 20 + 20 = 40
40 + 2x + 6x + 12x + 20x = 640

Combine like terms: 2x + 6x = 8x
40 + 8x + 12x + 20x = 640

Combine like terms: 8x + 12x = 20x
40 + 20x + 20x = 640

Combine like terms: 20x + 20x = 40x
40 + 40x = 640

Solving
40 + 40x = 640

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 40x = 640 + -40

Combine like terms: 40 + -40 = 0
0 + 40x = 640 + -40
40x = 640 + -40

Combine like terms: 640 + -40 = 600
40x = 600

Divide each side by '40'.
x = 15

Simplifying
x = 15

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