-6=7(x-4)+6x

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Solution for -6=7(x-4)+6x equation:


Simplifying
-6 = 7(x + -4) + 6x

Reorder the terms:
-6 = 7(-4 + x) + 6x
-6 = (-4 * 7 + x * 7) + 6x
-6 = (-28 + 7x) + 6x

Combine like terms: 7x + 6x = 13x
-6 = -28 + 13x

Solving
-6 = -28 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-6 + -13x = -28 + 13x + -13x

Combine like terms: 13x + -13x = 0
-6 + -13x = -28 + 0
-6 + -13x = -28

Add '6' to each side of the equation.
-6 + 6 + -13x = -28 + 6

Combine like terms: -6 + 6 = 0
0 + -13x = -28 + 6
-13x = -28 + 6

Combine like terms: -28 + 6 = -22
-13x = -22

Divide each side by '-13'.
x = 1.692307692

Simplifying
x = 1.692307692

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