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

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Solution for 5(x+4)-(2x-9)=7 equation:


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

Reorder the terms:
5(4 + x) + -1(2x + -9) = 7
(4 * 5 + x * 5) + -1(2x + -9) = 7
(20 + 5x) + -1(2x + -9) = 7

Reorder the terms:
20 + 5x + -1(-9 + 2x) = 7
20 + 5x + (-9 * -1 + 2x * -1) = 7
20 + 5x + (9 + -2x) = 7

Reorder the terms:
20 + 9 + 5x + -2x = 7

Combine like terms: 20 + 9 = 29
29 + 5x + -2x = 7

Combine like terms: 5x + -2x = 3x
29 + 3x = 7

Solving
29 + 3x = 7

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 3x = 7 + -29

Combine like terms: 29 + -29 = 0
0 + 3x = 7 + -29
3x = 7 + -29

Combine like terms: 7 + -29 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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