78(x-25)=-88x+42

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Solution for 78(x-25)=-88x+42 equation:


Simplifying
78(x + -25) = -88x + 42

Reorder the terms:
78(-25 + x) = -88x + 42
(-25 * 78 + x * 78) = -88x + 42
(-1950 + 78x) = -88x + 42

Reorder the terms:
-1950 + 78x = 42 + -88x

Solving
-1950 + 78x = 42 + -88x

Solving for variable 'x'.

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

Add '88x' to each side of the equation.
-1950 + 78x + 88x = 42 + -88x + 88x

Combine like terms: 78x + 88x = 166x
-1950 + 166x = 42 + -88x + 88x

Combine like terms: -88x + 88x = 0
-1950 + 166x = 42 + 0
-1950 + 166x = 42

Add '1950' to each side of the equation.
-1950 + 1950 + 166x = 42 + 1950

Combine like terms: -1950 + 1950 = 0
0 + 166x = 42 + 1950
166x = 42 + 1950

Combine like terms: 42 + 1950 = 1992
166x = 1992

Divide each side by '166'.
x = 12

Simplifying
x = 12

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