-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 = -21
-21 + -3x + 8x = 6x + 7 + 5x

Combine like terms: -3x + 8x = 5x
-21 + 5x = 6x + 7 + 5x

Reorder the terms:
-21 + 5x = 7 + 6x + 5x

Combine like terms: 6x + 5x = 11x
-21 + 5x = 7 + 11x

Solving
-21 + 5x = 7 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-21 + 5x + -11x = 7 + 11x + -11x

Combine like terms: 5x + -11x = -6x
-21 + -6x = 7 + 11x + -11x

Combine like terms: 11x + -11x = 0
-21 + -6x = 7 + 0
-21 + -6x = 7

Add '21' to each side of the equation.
-21 + 21 + -6x = 7 + 21

Combine like terms: -21 + 21 = 0
0 + -6x = 7 + 21
-6x = 7 + 21

Combine like terms: 7 + 21 = 28
-6x = 28

Divide each side by '-6'.
x = -4.666666667

Simplifying
x = -4.666666667

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