5+3(x-1)=4-8(x-6)

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Solution for 5+3(x-1)=4-8(x-6) equation: 


Simplifying
5 + 3(x + -1) = 4 + -8(x + -6)

Reorder the terms:
5 + 3(-1 + x) = 4 + -8(x + -6)
5 + (-1 * 3 + x * 3) = 4 + -8(x + -6)
5 + (-3 + 3x) = 4 + -8(x + -6)

Combine like terms: 5 + -3 = 2
2 + 3x = 4 + -8(x + -6)

Reorder the terms:
2 + 3x = 4 + -8(-6 + x)
2 + 3x = 4 + (-6 * -8 + x * -8)
2 + 3x = 4 + (48 + -8x)

Combine like terms: 4 + 48 = 52
2 + 3x = 52 + -8x

Solving
2 + 3x = 52 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
2 + 3x + 8x = 52 + -8x + 8x

Combine like terms: 3x + 8x = 11x
2 + 11x = 52 + -8x + 8x

Combine like terms: -8x + 8x = 0
2 + 11x = 52 + 0
2 + 11x = 52

Add '-2' to each side of the equation.
2 + -2 + 11x = 52 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 52 + -2
11x = 52 + -2

Combine like terms: 52 + -2 = 50
11x = 50

Divide each side by '11'.
x = 4.545454545

Simplifying
x = 4.545454545

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