5(2x+3)-2(3x-6)=

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Solution for 5(2x+3)-2(3x-6)= equation:


Simplifying
5(2x + 3) + -2(3x + -6) = 0

Reorder the terms:
5(3 + 2x) + -2(3x + -6) = 0
(3 * 5 + 2x * 5) + -2(3x + -6) = 0
(15 + 10x) + -2(3x + -6) = 0

Reorder the terms:
15 + 10x + -2(-6 + 3x) = 0
15 + 10x + (-6 * -2 + 3x * -2) = 0
15 + 10x + (12 + -6x) = 0

Reorder the terms:
15 + 12 + 10x + -6x = 0

Combine like terms: 15 + 12 = 27
27 + 10x + -6x = 0

Combine like terms: 10x + -6x = 4x
27 + 4x = 0

Solving
27 + 4x = 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 + 4x = 0 + -27

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

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

Divide each side by '4'.
x = -6.75

Simplifying
x = -6.75

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