3(x-5)+8(x-5)=22

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Solution for 3(x-5)+8(x-5)=22 equation: 


Simplifying
3(x + -5) + 8(x + -5) = 22

Reorder the terms:
3(-5 + x) + 8(x + -5) = 22
(-5 * 3 + x * 3) + 8(x + -5) = 22
(-15 + 3x) + 8(x + -5) = 22

Reorder the terms:
-15 + 3x + 8(-5 + x) = 22
-15 + 3x + (-5 * 8 + x * 8) = 22
-15 + 3x + (-40 + 8x) = 22

Reorder the terms:
-15 + -40 + 3x + 8x = 22

Combine like terms: -15 + -40 = -55
-55 + 3x + 8x = 22

Combine like terms: 3x + 8x = 11x
-55 + 11x = 22

Solving
-55 + 11x = 22

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + 55 + 11x = 22 + 55

Combine like terms: -55 + 55 = 0
0 + 11x = 22 + 55
11x = 22 + 55

Combine like terms: 22 + 55 = 77
11x = 77

Divide each side by '11'.
x = 7

Simplifying
x = 7

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