5(3x-13)=55-(2x+1)

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Solution for 5(3x-13)=55-(2x+1) equation:


Simplifying
5(3x + -13) = 55 + -1(2x + 1)

Reorder the terms:
5(-13 + 3x) = 55 + -1(2x + 1)
(-13 * 5 + 3x * 5) = 55 + -1(2x + 1)
(-65 + 15x) = 55 + -1(2x + 1)

Reorder the terms:
-65 + 15x = 55 + -1(1 + 2x)
-65 + 15x = 55 + (1 * -1 + 2x * -1)
-65 + 15x = 55 + (-1 + -2x)

Combine like terms: 55 + -1 = 54
-65 + 15x = 54 + -2x

Solving
-65 + 15x = 54 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-65 + 15x + 2x = 54 + -2x + 2x

Combine like terms: 15x + 2x = 17x
-65 + 17x = 54 + -2x + 2x

Combine like terms: -2x + 2x = 0
-65 + 17x = 54 + 0
-65 + 17x = 54

Add '65' to each side of the equation.
-65 + 65 + 17x = 54 + 65

Combine like terms: -65 + 65 = 0
0 + 17x = 54 + 65
17x = 54 + 65

Combine like terms: 54 + 65 = 119
17x = 119

Divide each side by '17'.
x = 7

Simplifying
x = 7

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