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

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


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

Reorder the terms:
3(5 + 2x) + -4(x + -3) = 0
(5 * 3 + 2x * 3) + -4(x + -3) = 0
(15 + 6x) + -4(x + -3) = 0

Reorder the terms:
15 + 6x + -4(-3 + x) = 0
15 + 6x + (-3 * -4 + x * -4) = 0
15 + 6x + (12 + -4x) = 0

Reorder the terms:
15 + 12 + 6x + -4x = 0

Combine like terms: 15 + 12 = 27
27 + 6x + -4x = 0

Combine like terms: 6x + -4x = 2x
27 + 2x = 0

Solving
27 + 2x = 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 + 2x = 0 + -27

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

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

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5

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