3-(4x-17)=7(x-3)

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


Simplifying
3 + -1(4x + -17) = 7(x + -3)

Reorder the terms:
3 + -1(-17 + 4x) = 7(x + -3)
3 + (-17 * -1 + 4x * -1) = 7(x + -3)
3 + (17 + -4x) = 7(x + -3)

Combine like terms: 3 + 17 = 20
20 + -4x = 7(x + -3)

Reorder the terms:
20 + -4x = 7(-3 + x)
20 + -4x = (-3 * 7 + x * 7)
20 + -4x = (-21 + 7x)

Solving
20 + -4x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
20 + -4x + -7x = -21 + 7x + -7x

Combine like terms: -4x + -7x = -11x
20 + -11x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -11x = -21 + 0
20 + -11x = -21

Add '-20' to each side of the equation.
20 + -20 + -11x = -21 + -20

Combine like terms: 20 + -20 = 0
0 + -11x = -21 + -20
-11x = -21 + -20

Combine like terms: -21 + -20 = -41
-11x = -41

Divide each side by '-11'.
x = 3.727272727

Simplifying
x = 3.727272727

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