-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 for easier multiplication:
3 + -3x + 8(3x) = 6x + 7 + -5x

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

Multiply 8 * 3
3 + -3x + 24x = 6x + 7 + -5x

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

Reorder the terms:
3 + 21x = 7 + 6x + -5x

Combine like terms: 6x + -5x = 1x
3 + 21x = 7 + 1x

Solving
3 + 21x = 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 + 21x + -1x = 7 + 1x + -1x

Combine like terms: 21x + -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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