3x-4=6(8x-x)+3

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Solution for 3x-4=6(8x-x)+3 equation:


Simplifying
3x + -4 = 6(8x + -1x) + 3

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

Combine like terms: 8x + -1x = 7x
-4 + 3x = 6(7x) + 3

Remove parenthesis around (7x)
-4 + 3x = 6 * 7x + 3

Multiply 6 * 7
-4 + 3x = 42x + 3

Reorder the terms:
-4 + 3x = 3 + 42x

Solving
-4 + 3x = 3 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
-4 + 3x + -42x = 3 + 42x + -42x

Combine like terms: 3x + -42x = -39x
-4 + -39x = 3 + 42x + -42x

Combine like terms: 42x + -42x = 0
-4 + -39x = 3 + 0
-4 + -39x = 3

Add '4' to each side of the equation.
-4 + 4 + -39x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + -39x = 3 + 4
-39x = 3 + 4

Combine like terms: 3 + 4 = 7
-39x = 7

Divide each side by '-39'.
x = -0.1794871795

Simplifying
x = -0.1794871795

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