3-(4x-23)=5(x-3)

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Solution for 3-(4x-23)=5(x-3) equation:


Simplifying
3 + -1(4x + -23) = 5(x + -3)

Reorder the terms:
3 + -1(-23 + 4x) = 5(x + -3)
3 + (-23 * -1 + 4x * -1) = 5(x + -3)
3 + (23 + -4x) = 5(x + -3)

Combine like terms: 3 + 23 = 26
26 + -4x = 5(x + -3)

Reorder the terms:
26 + -4x = 5(-3 + x)
26 + -4x = (-3 * 5 + x * 5)
26 + -4x = (-15 + 5x)

Solving
26 + -4x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
26 + -4x + -5x = -15 + 5x + -5x

Combine like terms: -4x + -5x = -9x
26 + -9x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
26 + -9x = -15 + 0
26 + -9x = -15

Add '-26' to each side of the equation.
26 + -26 + -9x = -15 + -26

Combine like terms: 26 + -26 = 0
0 + -9x = -15 + -26
-9x = -15 + -26

Combine like terms: -15 + -26 = -41
-9x = -41

Divide each side by '-9'.
x = 4.555555556

Simplifying
x = 4.555555556

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