6(x+5)-(x-4)=104

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Solution for 6(x+5)-(x-4)=104 equation:


Simplifying
6(x + 5) + -1(x + -4) = 104

Reorder the terms:
6(5 + x) + -1(x + -4) = 104
(5 * 6 + x * 6) + -1(x + -4) = 104
(30 + 6x) + -1(x + -4) = 104

Reorder the terms:
30 + 6x + -1(-4 + x) = 104
30 + 6x + (-4 * -1 + x * -1) = 104
30 + 6x + (4 + -1x) = 104

Reorder the terms:
30 + 4 + 6x + -1x = 104

Combine like terms: 30 + 4 = 34
34 + 6x + -1x = 104

Combine like terms: 6x + -1x = 5x
34 + 5x = 104

Solving
34 + 5x = 104

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + 5x = 104 + -34

Combine like terms: 34 + -34 = 0
0 + 5x = 104 + -34
5x = 104 + -34

Combine like terms: 104 + -34 = 70
5x = 70

Divide each side by '5'.
x = 14

Simplifying
x = 14

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