-5(2x-3)=4(x+6)

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Solution for -5(2x-3)=4(x+6) equation:


Simplifying
-5(2x + -3) = 4(x + 6)

Reorder the terms:
-5(-3 + 2x) = 4(x + 6)
(-3 * -5 + 2x * -5) = 4(x + 6)
(15 + -10x) = 4(x + 6)

Reorder the terms:
15 + -10x = 4(6 + x)
15 + -10x = (6 * 4 + x * 4)
15 + -10x = (24 + 4x)

Solving
15 + -10x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + -10x + -4x = 24 + 4x + -4x

Combine like terms: -10x + -4x = -14x
15 + -14x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -14x = 24 + 0
15 + -14x = 24

Add '-15' to each side of the equation.
15 + -15 + -14x = 24 + -15

Combine like terms: 15 + -15 = 0
0 + -14x = 24 + -15
-14x = 24 + -15

Combine like terms: 24 + -15 = 9
-14x = 9

Divide each side by '-14'.
x = -0.6428571429

Simplifying
x = -0.6428571429

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