3(x+4)-(x+2)=40

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Solution for 3(x+4)-(x+2)=40 equation: 


Simplifying
3(x + 4) + -1(x + 2) = 40

Reorder the terms:
3(4 + x) + -1(x + 2) = 40
(4 * 3 + x * 3) + -1(x + 2) = 40
(12 + 3x) + -1(x + 2) = 40

Reorder the terms:
12 + 3x + -1(2 + x) = 40
12 + 3x + (2 * -1 + x * -1) = 40
12 + 3x + (-2 + -1x) = 40

Reorder the terms:
12 + -2 + 3x + -1x = 40

Combine like terms: 12 + -2 = 10
10 + 3x + -1x = 40

Combine like terms: 3x + -1x = 2x
10 + 2x = 40

Solving
10 + 2x = 40

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 40 + -10
2x = 40 + -10

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

Divide each side by '2'.
x = 15

Simplifying
x = 15

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