2(x-5)+3(x+4)=22

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Solution for 2(x-5)+3(x+4)=22 equation: 


Simplifying
2(x + -5) + 3(x + 4) = 22

Reorder the terms:
2(-5 + x) + 3(x + 4) = 22
(-5 * 2 + x * 2) + 3(x + 4) = 22
(-10 + 2x) + 3(x + 4) = 22

Reorder the terms:
-10 + 2x + 3(4 + x) = 22
-10 + 2x + (4 * 3 + x * 3) = 22
-10 + 2x + (12 + 3x) = 22

Reorder the terms:
-10 + 12 + 2x + 3x = 22

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

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

Solving
2 + 5x = 22

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 22 + -2
5x = 22 + -2

Combine like terms: 22 + -2 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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