3x+3(4x-5)=17x-1

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Solution for 3x+3(4x-5)=17x-1 equation:


Simplifying
3x + 3(4x + -5) = 17x + -1

Reorder the terms:
3x + 3(-5 + 4x) = 17x + -1
3x + (-5 * 3 + 4x * 3) = 17x + -1
3x + (-15 + 12x) = 17x + -1

Reorder the terms:
-15 + 3x + 12x = 17x + -1

Combine like terms: 3x + 12x = 15x
-15 + 15x = 17x + -1

Reorder the terms:
-15 + 15x = -1 + 17x

Solving
-15 + 15x = -1 + 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.
-15 + 15x + -17x = -1 + 17x + -17x

Combine like terms: 15x + -17x = -2x
-15 + -2x = -1 + 17x + -17x

Combine like terms: 17x + -17x = 0
-15 + -2x = -1 + 0
-15 + -2x = -1

Add '15' to each side of the equation.
-15 + 15 + -2x = -1 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -1 + 15
-2x = -1 + 15

Combine like terms: -1 + 15 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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