2(x-3)-5=17x-116

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Solution for 2(x-3)-5=17x-116 equation:


Simplifying
2(x + -3) + -5 = 17x + -116

Reorder the terms:
2(-3 + x) + -5 = 17x + -116
(-3 * 2 + x * 2) + -5 = 17x + -116
(-6 + 2x) + -5 = 17x + -116

Reorder the terms:
-6 + -5 + 2x = 17x + -116

Combine like terms: -6 + -5 = -11
-11 + 2x = 17x + -116

Reorder the terms:
-11 + 2x = -116 + 17x

Solving
-11 + 2x = -116 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-11 + 2x + -17x = -116 + 17x + -17x

Combine like terms: 2x + -17x = -15x
-11 + -15x = -116 + 17x + -17x

Combine like terms: 17x + -17x = 0
-11 + -15x = -116 + 0
-11 + -15x = -116

Add '11' to each side of the equation.
-11 + 11 + -15x = -116 + 11

Combine like terms: -11 + 11 = 0
0 + -15x = -116 + 11
-15x = -116 + 11

Combine like terms: -116 + 11 = -105
-15x = -105

Divide each side by '-15'.
x = 7

Simplifying
x = 7

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