5(2x-1)+2(x+5)=55

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Solution for 5(2x-1)+2(x+5)=55 equation:


Simplifying
5(2x + -1) + 2(x + 5) = 55

Reorder the terms:
5(-1 + 2x) + 2(x + 5) = 55
(-1 * 5 + 2x * 5) + 2(x + 5) = 55
(-5 + 10x) + 2(x + 5) = 55

Reorder the terms:
-5 + 10x + 2(5 + x) = 55
-5 + 10x + (5 * 2 + x * 2) = 55
-5 + 10x + (10 + 2x) = 55

Reorder the terms:
-5 + 10 + 10x + 2x = 55

Combine like terms: -5 + 10 = 5
5 + 10x + 2x = 55

Combine like terms: 10x + 2x = 12x
5 + 12x = 55

Solving
5 + 12x = 55

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 12x = 55 + -5

Combine like terms: 5 + -5 = 0
0 + 12x = 55 + -5
12x = 55 + -5

Combine like terms: 55 + -5 = 50
12x = 50

Divide each side by '12'.
x = 4.166666667

Simplifying
x = 4.166666667

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