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

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


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

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

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

Multiply -6 * 7
-42(-1 + x) = 7x + 2
(-1 * -42 + x * -42) = 7x + 2
(42 + -42x) = 7x + 2

Reorder the terms:
42 + -42x = 2 + 7x

Solving
42 + -42x = 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.
42 + -42x + -7x = 2 + 7x + -7x

Combine like terms: -42x + -7x = -49x
42 + -49x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
42 + -49x = 2 + 0
42 + -49x = 2

Add '-42' to each side of the equation.
42 + -42 + -49x = 2 + -42

Combine like terms: 42 + -42 = 0
0 + -49x = 2 + -42
-49x = 2 + -42

Combine like terms: 2 + -42 = -40
-49x = -40

Divide each side by '-49'.
x = 0.8163265306

Simplifying
x = 0.8163265306

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