17=7(4x-6)+3

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Solution for 17=7(4x-6)+3 equation:


Simplifying
17 = 7(4x + -6) + 3

Reorder the terms:
17 = 7(-6 + 4x) + 3
17 = (-6 * 7 + 4x * 7) + 3
17 = (-42 + 28x) + 3

Reorder the terms:
17 = -42 + 3 + 28x

Combine like terms: -42 + 3 = -39
17 = -39 + 28x

Solving
17 = -39 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
17 + -28x = -39 + 28x + -28x

Combine like terms: 28x + -28x = 0
17 + -28x = -39 + 0
17 + -28x = -39

Add '-17' to each side of the equation.
17 + -17 + -28x = -39 + -17

Combine like terms: 17 + -17 = 0
0 + -28x = -39 + -17
-28x = -39 + -17

Combine like terms: -39 + -17 = -56
-28x = -56

Divide each side by '-28'.
x = 2

Simplifying
x = 2

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