3(x-1)+5x-1=8-6(x-2)

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Solution for 3(x-1)+5x-1=8-6(x-2) equation:


Simplifying
3(x + -1) + 5x + -1 = 8 + -6(x + -2)

Reorder the terms:
3(-1 + x) + 5x + -1 = 8 + -6(x + -2)
(-1 * 3 + x * 3) + 5x + -1 = 8 + -6(x + -2)
(-3 + 3x) + 5x + -1 = 8 + -6(x + -2)

Reorder the terms:
-3 + -1 + 3x + 5x = 8 + -6(x + -2)

Combine like terms: -3 + -1 = -4
-4 + 3x + 5x = 8 + -6(x + -2)

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

Reorder the terms:
-4 + 8x = 8 + -6(-2 + x)
-4 + 8x = 8 + (-2 * -6 + x * -6)
-4 + 8x = 8 + (12 + -6x)

Combine like terms: 8 + 12 = 20
-4 + 8x = 20 + -6x

Solving
-4 + 8x = 20 + -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.
-4 + 8x + 6x = 20 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-4 + 14x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 14x = 20 + 0
-4 + 14x = 20

Add '4' to each side of the equation.
-4 + 4 + 14x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 20 + 4
14x = 20 + 4

Combine like terms: 20 + 4 = 24
14x = 24

Divide each side by '14'.
x = 1.714285714

Simplifying
x = 1.714285714

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