-34(14x)+27(21x)=(75-75)+(-823+95)

Solution for -34(14x)+27(21x)=(75-75)+(-823+95) equation:

Simplifying
-34(14x) + 27(21x) = (75 + -75) + (-823 + 95)

Remove parenthesis around (14x)
-34 * 14x + 27(21x) = (75 + -75) + (-823 + 95)

Multiply -34 * 14
-476x + 27(21x) = (75 + -75) + (-823 + 95)

Remove parenthesis around (21x)
-476x + 27 * 21x = (75 + -75) + (-823 + 95)

Multiply 27 * 21
-476x + 567x = (75 + -75) + (-823 + 95)

Combine like terms: -476x + 567x = 91x
91x = (75 + -75) + (-823 + 95)

Combine like terms: 75 + -75 = 0
91x = (0) + (-823 + 95)
91x = 0 + (-823 + 95)

Combine like terms: -823 + 95 = -728
91x = 0 + (-728)
91x = 0 + -728

Combine like terms: 0 + -728 = -728
91x = -728

Solving
91x = -728

Solving for variable 'x'.

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

Divide each side by '91'.
x = -8

Simplifying
x = -8