7*(x+3)-2*(x-5)=8

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Solution for 7*(x+3)-2*(x-5)=8 equation:


Simplifying
7(x + 3) + -2(x + -5) = 8

Reorder the terms:
7(3 + x) + -2(x + -5) = 8
(3 * 7 + x * 7) + -2(x + -5) = 8
(21 + 7x) + -2(x + -5) = 8

Reorder the terms:
21 + 7x + -2(-5 + x) = 8
21 + 7x + (-5 * -2 + x * -2) = 8
21 + 7x + (10 + -2x) = 8

Reorder the terms:
21 + 10 + 7x + -2x = 8

Combine like terms: 21 + 10 = 31
31 + 7x + -2x = 8

Combine like terms: 7x + -2x = 5x
31 + 5x = 8

Solving
31 + 5x = 8

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + 5x = 8 + -31

Combine like terms: 31 + -31 = 0
0 + 5x = 8 + -31
5x = 8 + -31

Combine like terms: 8 + -31 = -23
5x = -23

Divide each side by '5'.
x = -4.6

Simplifying
x = -4.6

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