2+6(4-x)=3(x-5)

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Solution for 2+6(4-x)=3(x-5) equation:


Simplifying
2 + 6(4 + -1x) = 3(x + -5)
2 + (4 * 6 + -1x * 6) = 3(x + -5)
2 + (24 + -6x) = 3(x + -5)

Combine like terms: 2 + 24 = 26
26 + -6x = 3(x + -5)

Reorder the terms:
26 + -6x = 3(-5 + x)
26 + -6x = (-5 * 3 + x * 3)
26 + -6x = (-15 + 3x)

Solving
26 + -6x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
26 + -6x + -3x = -15 + 3x + -3x

Combine like terms: -6x + -3x = -9x
26 + -9x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 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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