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

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


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

Reorder the terms:
5(2 + x) + 3(-1x + 4) = 2
(2 * 5 + x * 5) + 3(-1x + 4) = 2
(10 + 5x) + 3(-1x + 4) = 2

Reorder the terms:
10 + 5x + 3(4 + -1x) = 2
10 + 5x + (4 * 3 + -1x * 3) = 2
10 + 5x + (12 + -3x) = 2

Reorder the terms:
10 + 12 + 5x + -3x = 2

Combine like terms: 10 + 12 = 22
22 + 5x + -3x = 2

Combine like terms: 5x + -3x = 2x
22 + 2x = 2

Solving
22 + 2x = 2

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 2x = 2 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = 2 + -22
2x = 2 + -22

Combine like terms: 2 + -22 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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