3(4x-1)-2=17x-10

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Solution for 3(4x-1)-2=17x-10 equation:


Simplifying
3(4x + -1) + -2 = 17x + -10

Reorder the terms:
3(-1 + 4x) + -2 = 17x + -10
(-1 * 3 + 4x * 3) + -2 = 17x + -10
(-3 + 12x) + -2 = 17x + -10

Reorder the terms:
-3 + -2 + 12x = 17x + -10

Combine like terms: -3 + -2 = -5
-5 + 12x = 17x + -10

Reorder the terms:
-5 + 12x = -10 + 17x

Solving
-5 + 12x = -10 + 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.
-5 + 12x + -17x = -10 + 17x + -17x

Combine like terms: 12x + -17x = -5x
-5 + -5x = -10 + 17x + -17x

Combine like terms: 17x + -17x = 0
-5 + -5x = -10 + 0
-5 + -5x = -10

Add '5' to each side of the equation.
-5 + 5 + -5x = -10 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = -10 + 5
-5x = -10 + 5

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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