10x-1+78=18x+13

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Solution for 10x-1+78=18x+13 equation:


Simplifying
10x + -1 + 78 = 18x + 13

Reorder the terms:
-1 + 78 + 10x = 18x + 13

Combine like terms: -1 + 78 = 77
77 + 10x = 18x + 13

Reorder the terms:
77 + 10x = 13 + 18x

Solving
77 + 10x = 13 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
77 + 10x + -18x = 13 + 18x + -18x

Combine like terms: 10x + -18x = -8x
77 + -8x = 13 + 18x + -18x

Combine like terms: 18x + -18x = 0
77 + -8x = 13 + 0
77 + -8x = 13

Add '-77' to each side of the equation.
77 + -77 + -8x = 13 + -77

Combine like terms: 77 + -77 = 0
0 + -8x = 13 + -77
-8x = 13 + -77

Combine like terms: 13 + -77 = -64
-8x = -64

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

Simplifying
x = 8

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