-3(x-1)-8(x-3)=6x+7-5x

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Solution for -3(x-1)-8(x-3)=6x+7-5x equation:


Simplifying
-3(x + -1) + -8(x + -3) = 6x + 7 + -5x

Reorder the terms:
-3(-1 + x) + -8(x + -3) = 6x + 7 + -5x
(-1 * -3 + x * -3) + -8(x + -3) = 6x + 7 + -5x
(3 + -3x) + -8(x + -3) = 6x + 7 + -5x

Reorder the terms:
3 + -3x + -8(-3 + x) = 6x + 7 + -5x
3 + -3x + (-3 * -8 + x * -8) = 6x + 7 + -5x
3 + -3x + (24 + -8x) = 6x + 7 + -5x

Reorder the terms:
3 + 24 + -3x + -8x = 6x + 7 + -5x

Combine like terms: 3 + 24 = 27
27 + -3x + -8x = 6x + 7 + -5x

Combine like terms: -3x + -8x = -11x
27 + -11x = 6x + 7 + -5x

Reorder the terms:
27 + -11x = 7 + 6x + -5x

Combine like terms: 6x + -5x = 1x
27 + -11x = 7 + 1x

Solving
27 + -11x = 7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
27 + -11x + -1x = 7 + 1x + -1x

Combine like terms: -11x + -1x = -12x
27 + -12x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
27 + -12x = 7 + 0
27 + -12x = 7

Add '-27' to each side of the equation.
27 + -27 + -12x = 7 + -27

Combine like terms: 27 + -27 = 0
0 + -12x = 7 + -27
-12x = 7 + -27

Combine like terms: 7 + -27 = -20
-12x = -20

Divide each side by '-12'.
x = 1.666666667

Simplifying
x = 1.666666667

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