-257=-6(-5-7x)-x

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Solution for -257=-6(-5-7x)-x equation:


Simplifying
-257 = -6(-5 + -7x) + -1x
-257 = (-5 * -6 + -7x * -6) + -1x
-257 = (30 + 42x) + -1x

Combine like terms: 42x + -1x = 41x
-257 = 30 + 41x

Solving
-257 = 30 + 41x

Solving for variable 'x'.

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

Add '-41x' to each side of the equation.
-257 + -41x = 30 + 41x + -41x

Combine like terms: 41x + -41x = 0
-257 + -41x = 30 + 0
-257 + -41x = 30

Add '257' to each side of the equation.
-257 + 257 + -41x = 30 + 257

Combine like terms: -257 + 257 = 0
0 + -41x = 30 + 257
-41x = 30 + 257

Combine like terms: 30 + 257 = 287
-41x = 287

Divide each side by '-41'.
x = -7

Simplifying
x = -7

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