5+3(x-1)=1-6(x-4)

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Solution for 5+3(x-1)=1-6(x-4) equation: 


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

Reorder the terms:
5 + 3(-1 + x) = 1 + -6(x + -4)
5 + (-1 * 3 + x * 3) = 1 + -6(x + -4)
5 + (-3 + 3x) = 1 + -6(x + -4)

Combine like terms: 5 + -3 = 2
2 + 3x = 1 + -6(x + -4)

Reorder the terms:
2 + 3x = 1 + -6(-4 + x)
2 + 3x = 1 + (-4 * -6 + x * -6)
2 + 3x = 1 + (24 + -6x)

Combine like terms: 1 + 24 = 25
2 + 3x = 25 + -6x

Solving
2 + 3x = 25 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + 3x + 6x = 25 + -6x + 6x

Combine like terms: 3x + 6x = 9x
2 + 9x = 25 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 9x = 25 + 0
2 + 9x = 25

Add '-2' to each side of the equation.
2 + -2 + 9x = 25 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 25 + -2
9x = 25 + -2

Combine like terms: 25 + -2 = 23
9x = 23

Divide each side by '9'.
x = 2.555555556

Simplifying
x = 2.555555556

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