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 = -22
-22 + 2x + 3x = 22

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

Solving
-22 + 5x = 22

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 + 5x = 22 + 22

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

Combine like terms: 22 + 22 = 44
5x = 44

Divide each side by '5'.
x = 8.8

Simplifying
x = 8.8

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