-6(x-1)=7x+2

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Solution for -6(x-1)=7x+2 equation:


Simplifying
-6(x + -1) = 7x + 2

Reorder the terms:
-6(-1 + x) = 7x + 2
(-1 * -6 + x * -6) = 7x + 2
(6 + -6x) = 7x + 2

Reorder the terms:
6 + -6x = 2 + 7x

Solving
6 + -6x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + -6x + -7x = 2 + 7x + -7x

Combine like terms: -6x + -7x = -13x
6 + -13x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -13x = 2 + 0
6 + -13x = 2

Add '-6' to each side of the equation.
6 + -6 + -13x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 2 + -6
-13x = 2 + -6

Combine like terms: 2 + -6 = -4
-13x = -4

Divide each side by '-13'.
x = 0.3076923077

Simplifying
x = 0.3076923077

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