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

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


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

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

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

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

Combine like terms: 3 + -24 = -21
-21 + -3x + 8x = 6x + 7 + -5

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

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

Combine like terms: 7 + -5 = 2
-21 + 5x = 2 + 6x

Solving
-21 + 5x = 2 + 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.
-21 + 5x + -6x = 2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-21 + -1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + -1x = 2 + 0
-21 + -1x = 2

Add '21' to each side of the equation.
-21 + 21 + -1x = 2 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 2 + 21
-1x = 2 + 21

Combine like terms: 2 + 21 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23

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