-226=5(7x-2)-8x

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Solution for -226=5(7x-2)-8x equation:


Simplifying
-226 = 5(7x + -2) + -8x

Reorder the terms:
-226 = 5(-2 + 7x) + -8x
-226 = (-2 * 5 + 7x * 5) + -8x
-226 = (-10 + 35x) + -8x

Combine like terms: 35x + -8x = 27x
-226 = -10 + 27x

Solving
-226 = -10 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
-226 + -27x = -10 + 27x + -27x

Combine like terms: 27x + -27x = 0
-226 + -27x = -10 + 0
-226 + -27x = -10

Add '226' to each side of the equation.
-226 + 226 + -27x = -10 + 226

Combine like terms: -226 + 226 = 0
0 + -27x = -10 + 226
-27x = -10 + 226

Combine like terms: -10 + 226 = 216
-27x = 216

Divide each side by '-27'.
x = -8

Simplifying
x = -8

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