2(x+1)+3(x-2)=k

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Solution for 2(x+1)+3(x-2)=k equation:


Simplifying
2(x + 1) + 3(x + -2) = k

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

Reorder the terms:
2 + 2x + 3(-2 + x) = k
2 + 2x + (-2 * 3 + x * 3) = k
2 + 2x + (-6 + 3x) = k

Reorder the terms:
2 + -6 + 2x + 3x = k

Combine like terms: 2 + -6 = -4
-4 + 2x + 3x = k

Combine like terms: 2x + 3x = 5x
-4 + 5x = k

Solving
-4 + 5x = k

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 4 + k

Combine like terms: -4 + 4 = 0
0 + 5x = 4 + k
5x = 4 + k

Divide each side by '5'.
x = 0.8 + 0.2k

Simplifying
x = 0.8 + 0.2k

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