17x-8+3x=5(6x-3)+2

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Solution for 17x-8+3x=5(6x-3)+2 equation:


Simplifying
17x + -8 + 3x = 5(6x + -3) + 2

Reorder the terms:
-8 + 17x + 3x = 5(6x + -3) + 2

Combine like terms: 17x + 3x = 20x
-8 + 20x = 5(6x + -3) + 2

Reorder the terms:
-8 + 20x = 5(-3 + 6x) + 2
-8 + 20x = (-3 * 5 + 6x * 5) + 2
-8 + 20x = (-15 + 30x) + 2

Reorder the terms:
-8 + 20x = -15 + 2 + 30x

Combine like terms: -15 + 2 = -13
-8 + 20x = -13 + 30x

Solving
-8 + 20x = -13 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-8 + 20x + -30x = -13 + 30x + -30x

Combine like terms: 20x + -30x = -10x
-8 + -10x = -13 + 30x + -30x

Combine like terms: 30x + -30x = 0
-8 + -10x = -13 + 0
-8 + -10x = -13

Add '8' to each side of the equation.
-8 + 8 + -10x = -13 + 8

Combine like terms: -8 + 8 = 0
0 + -10x = -13 + 8
-10x = -13 + 8

Combine like terms: -13 + 8 = -5
-10x = -5

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5

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