7(x-6)=11x-2

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Solution for 7(x-6)=11x-2 equation:


Simplifying
7(x + -6) = 11x + -2

Reorder the terms:
7(-6 + x) = 11x + -2
(-6 * 7 + x * 7) = 11x + -2
(-42 + 7x) = 11x + -2

Reorder the terms:
-42 + 7x = -2 + 11x

Solving
-42 + 7x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-42 + 7x + -11x = -2 + 11x + -11x

Combine like terms: 7x + -11x = -4x
-42 + -4x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
-42 + -4x = -2 + 0
-42 + -4x = -2

Add '42' to each side of the equation.
-42 + 42 + -4x = -2 + 42

Combine like terms: -42 + 42 = 0
0 + -4x = -2 + 42
-4x = -2 + 42

Combine like terms: -2 + 42 = 40
-4x = 40

Divide each side by '-4'.
x = -10

Simplifying
x = -10

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