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

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


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

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

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

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

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

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

Combine like terms: 2 + 40 = 42
24 + 4x = 42

Solving
24 + 4x = 42

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 4x = 42 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 42 + -24
4x = 42 + -24

Combine like terms: 42 + -24 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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