-2(x-3x)+8=6(3x-x)+1+15x

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Solution for -2(x-3x)+8=6(3x-x)+1+15x equation:


Simplifying
-2(x + -3x) + 8 = 6(3x + -1x) + 1 + 15x

Combine like terms: x + -3x = -2x
-2(-2x) + 8 = 6(3x + -1x) + 1 + 15x

Remove parenthesis around (-2x)
-2 * -2x + 8 = 6(3x + -1x) + 1 + 15x

Multiply -2 * -2
4x + 8 = 6(3x + -1x) + 1 + 15x

Reorder the terms:
8 + 4x = 6(3x + -1x) + 1 + 15x

Combine like terms: 3x + -1x = 2x
8 + 4x = 6(2x) + 1 + 15x

Remove parenthesis around (2x)
8 + 4x = 6 * 2x + 1 + 15x

Multiply 6 * 2
8 + 4x = 12x + 1 + 15x

Reorder the terms:
8 + 4x = 1 + 12x + 15x

Combine like terms: 12x + 15x = 27x
8 + 4x = 1 + 27x

Solving
8 + 4x = 1 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
8 + 4x + -27x = 1 + 27x + -27x

Combine like terms: 4x + -27x = -23x
8 + -23x = 1 + 27x + -27x

Combine like terms: 27x + -27x = 0
8 + -23x = 1 + 0
8 + -23x = 1

Add '-8' to each side of the equation.
8 + -8 + -23x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -23x = 1 + -8
-23x = 1 + -8

Combine like terms: 1 + -8 = -7
-23x = -7

Divide each side by '-23'.
x = 0.3043478261

Simplifying
x = 0.3043478261

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