2(x-5)+3x=22

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Solution for 2(x-5)+3x=22 equation:


Simplifying
2(x + -5) + 3x = 22

Reorder the terms:
2(-5 + x) + 3x = 22
(-5 * 2 + x * 2) + 3x = 22
(-10 + 2x) + 3x = 22

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

Solving
-10 + 5x = 22

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 + 5x = 22 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 22 + 10
5x = 22 + 10

Combine like terms: 22 + 10 = 32
5x = 32

Divide each side by '5'.
x = 6.4

Simplifying
x = 6.4

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