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

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


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

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

Combine like terms: x + -3x = -2x
3 + -3x + 8(-2x) = 6x + 7 + -5x

Remove parenthesis around (-2x)
3 + -3x + 8 * -2x = 6x + 7 + -5x

Multiply 8 * -2
3 + -3x + -16x = 6x + 7 + -5x

Combine like terms: -3x + -16x = -19x
3 + -19x = 6x + 7 + -5x

Reorder the terms:
3 + -19x = 7 + 6x + -5x

Combine like terms: 6x + -5x = 1x
3 + -19x = 7 + 1x

Solving
3 + -19x = 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.
3 + -19x + -1x = 7 + 1x + -1x

Combine like terms: -19x + -1x = -20x
3 + -20x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + -20x = 7 + 0
3 + -20x = 7

Add '-3' to each side of the equation.
3 + -3 + -20x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -20x = 7 + -3
-20x = 7 + -3

Combine like terms: 7 + -3 = 4
-20x = 4

Divide each side by '-20'.
x = -0.2

Simplifying
x = -0.2

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