5(x+4)-(2x-7)=0

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Solution for 5(x+4)-(2x-7)=0 equation:


Simplifying
5(x + 4) + -1(2x + -7) = 0

Reorder the terms:
5(4 + x) + -1(2x + -7) = 0
(4 * 5 + x * 5) + -1(2x + -7) = 0
(20 + 5x) + -1(2x + -7) = 0

Reorder the terms:
20 + 5x + -1(-7 + 2x) = 0
20 + 5x + (-7 * -1 + 2x * -1) = 0
20 + 5x + (7 + -2x) = 0

Reorder the terms:
20 + 7 + 5x + -2x = 0

Combine like terms: 20 + 7 = 27
27 + 5x + -2x = 0

Combine like terms: 5x + -2x = 3x
27 + 3x = 0

Solving
27 + 3x = 0

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 3x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 3x = 0 + -27
3x = 0 + -27

Combine like terms: 0 + -27 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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