7x-18(16x-52)=-114-71x

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Solution for 7x-18(16x-52)=-114-71x equation:


Simplifying
7x + -18(16x + -52) = -114 + -71x

Reorder the terms:
7x + -18(-52 + 16x) = -114 + -71x
7x + (-52 * -18 + 16x * -18) = -114 + -71x
7x + (936 + -288x) = -114 + -71x

Reorder the terms:
936 + 7x + -288x = -114 + -71x

Combine like terms: 7x + -288x = -281x
936 + -281x = -114 + -71x

Solving
936 + -281x = -114 + -71x

Solving for variable 'x'.

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

Add '71x' to each side of the equation.
936 + -281x + 71x = -114 + -71x + 71x

Combine like terms: -281x + 71x = -210x
936 + -210x = -114 + -71x + 71x

Combine like terms: -71x + 71x = 0
936 + -210x = -114 + 0
936 + -210x = -114

Add '-936' to each side of the equation.
936 + -936 + -210x = -114 + -936

Combine like terms: 936 + -936 = 0
0 + -210x = -114 + -936
-210x = -114 + -936

Combine like terms: -114 + -936 = -1050
-210x = -1050

Divide each side by '-210'.
x = 5

Simplifying
x = 5

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