13x-(3x-8)=78

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Solution for 13x-(3x-8)=78 equation:


Simplifying
13x + -1(3x + -8) = 78

Reorder the terms:
13x + -1(-8 + 3x) = 78
13x + (-8 * -1 + 3x * -1) = 78
13x + (8 + -3x) = 78

Reorder the terms:
8 + 13x + -3x = 78

Combine like terms: 13x + -3x = 10x
8 + 10x = 78

Solving
8 + 10x = 78

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 10x = 78 + -8

Combine like terms: 8 + -8 = 0
0 + 10x = 78 + -8
10x = 78 + -8

Combine like terms: 78 + -8 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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