7(x+4)-(2x-9)=8

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Solution for 7(x+4)-(2x-9)=8 equation: 


Simplifying
7(x + 4) + -1(2x + -9) = 8

Reorder the terms:
7(4 + x) + -1(2x + -9) = 8
(4 * 7 + x * 7) + -1(2x + -9) = 8
(28 + 7x) + -1(2x + -9) = 8

Reorder the terms:
28 + 7x + -1(-9 + 2x) = 8
28 + 7x + (-9 * -1 + 2x * -1) = 8
28 + 7x + (9 + -2x) = 8

Reorder the terms:
28 + 9 + 7x + -2x = 8

Combine like terms: 28 + 9 = 37
37 + 7x + -2x = 8

Combine like terms: 7x + -2x = 5x
37 + 5x = 8

Solving
37 + 5x = 8

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + 5x = 8 + -37

Combine like terms: 37 + -37 = 0
0 + 5x = 8 + -37
5x = 8 + -37

Combine like terms: 8 + -37 = -29
5x = -29

Divide each side by '5'.
x = -5.8

Simplifying
x = -5.8

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