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 = 36
36 + 10x + -6x = 2x + 40

Combine like terms: 10x + -6x = 4x
36 + 4x = 2x + 40

Reorder the terms:
36 + 4x = 40 + 2x

Solving
36 + 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.
36 + 4x + -2x = 40 + 2x + -2x

Combine like terms: 4x + -2x = 2x
36 + 2x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 2x = 40 + 0
36 + 2x = 40

Add '-36' to each side of the equation.
36 + -36 + 2x = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = 40 + -36
2x = 40 + -36

Combine like terms: 40 + -36 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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