10(X+3)-6(X+1)=2X+40

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Solution for 10(X+3)-6(X+1)=2X+40 equation: 


Simplifying
10(X + 3) + -6(X + 1) = 2X + 40

Reorder the terms:
10(3 + X) + -6(X + 1) = 2X + 40
(3 * 10 + X * 10) + -6(X + 1) = 2X + 40
(30 + 10X) + -6(X + 1) = 2X + 40

Reorder the terms:
30 + 10X + -6(1 + X) = 2X + 40
30 + 10X + (1 * -6 + X * -6) = 2X + 40
30 + 10X + (-6 + -6X) = 2X + 40

Reorder the terms:
30 + -6 + 10X + -6X = 2X + 40

Combine like terms: 30 + -6 = 24
24 + 10X + -6X = 2X + 40

Combine like terms: 10X + -6X = 4X
24 + 4X = 2X + 40

Reorder the terms:
24 + 4X = 40 + 2X

Solving
24 + 4X = 40 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
24 + 4X + -2X = 40 + 2X + -2X

Combine like terms: 4X + -2X = 2X
24 + 2X = 40 + 2X + -2X

Combine like terms: 2X + -2X = 0
24 + 2X = 40 + 0
24 + 2X = 40

Add '-24' to each side of the equation.
24 + -24 + 2X = 40 + -24

Combine like terms: 24 + -24 = 0
0 + 2X = 40 + -24
2X = 40 + -24

Combine like terms: 40 + -24 = 16
2X = 16

Divide each side by '2'.
X = 8

Simplifying
X = 8

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