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

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


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

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

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

Solving
6 + -2x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -2x + -10x = 15 + 10x + -10x

Combine like terms: -2x + -10x = -12x
6 + -12x = 15 + 10x + -10x

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

Add '-6' to each side of the equation.
6 + -6 + -12x = 15 + -6

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

Combine like terms: 15 + -6 = 9
-12x = 9

Divide each side by '-12'.
x = -0.75

Simplifying
x = -0.75

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