5(x+3)-4(2x-9)=0

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Solution for 5(x+3)-4(2x-9)=0 equation: 


Simplifying
5(x + 3) + -4(2x + -9) = 0

Reorder the terms:
5(3 + x) + -4(2x + -9) = 0
(3 * 5 + x * 5) + -4(2x + -9) = 0
(15 + 5x) + -4(2x + -9) = 0

Reorder the terms:
15 + 5x + -4(-9 + 2x) = 0
15 + 5x + (-9 * -4 + 2x * -4) = 0
15 + 5x + (36 + -8x) = 0

Reorder the terms:
15 + 36 + 5x + -8x = 0

Combine like terms: 15 + 36 = 51
51 + 5x + -8x = 0

Combine like terms: 5x + -8x = -3x
51 + -3x = 0

Solving
51 + -3x = 0

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + -3x = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -3x = 0 + -51
-3x = 0 + -51

Combine like terms: 0 + -51 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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