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

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


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

Reorder the terms:
-2(-4 + 3x) = 5(2x + 3)
(-4 * -2 + 3x * -2) = 5(2x + 3)
(8 + -6x) = 5(2x + 3)

Reorder the terms:
8 + -6x = 5(3 + 2x)
8 + -6x = (3 * 5 + 2x * 5)
8 + -6x = (15 + 10x)

Solving
8 + -6x = 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.
8 + -6x + -10x = 15 + 10x + -10x

Combine like terms: -6x + -10x = -16x
8 + -16x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -16x = 15 + 0
8 + -16x = 15

Add '-8' to each side of the equation.
8 + -8 + -16x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + -16x = 15 + -8
-16x = 15 + -8

Combine like terms: 15 + -8 = 7
-16x = 7

Divide each side by '-16'.
x = -0.4375

Simplifying
x = -0.4375

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