5x+6(-7x+13)=263

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Solution for 5x+6(-7x+13)=263 equation:


Simplifying
5x + 6(-7x + 13) = 263

Reorder the terms:
5x + 6(13 + -7x) = 263
5x + (13 * 6 + -7x * 6) = 263
5x + (78 + -42x) = 263

Reorder the terms:
78 + 5x + -42x = 263

Combine like terms: 5x + -42x = -37x
78 + -37x = 263

Solving
78 + -37x = 263

Solving for variable 'x'.

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

Add '-78' to each side of the equation.
78 + -78 + -37x = 263 + -78

Combine like terms: 78 + -78 = 0
0 + -37x = 263 + -78
-37x = 263 + -78

Combine like terms: 263 + -78 = 185
-37x = 185

Divide each side by '-37'.
x = -5

Simplifying
x = -5

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