6=-4(3x+1)+13x

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Solution for 6=-4(3x+1)+13x equation:


Simplifying
6 = -4(3x + 1) + 13x

Reorder the terms:
6 = -4(1 + 3x) + 13x
6 = (1 * -4 + 3x * -4) + 13x
6 = (-4 + -12x) + 13x

Combine like terms: -12x + 13x = 1x
6 = -4 + 1x

Solving
6 = -4 + 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.
6 + -1x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + -1x = -4 + 0
6 + -1x = -4

Add '-6' to each side of the equation.
6 + -6 + -1x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -4 + -6
-1x = -4 + -6

Combine like terms: -4 + -6 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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