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

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


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

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

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

Solving
-15 + -6x = -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 + -6x + -4x = -24 + 4x + -4x

Combine like terms: -6x + -4x = -10x
-15 + -10x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -10x = -24 + 0
-15 + -10x = -24

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

Combine like terms: -15 + 15 = 0
0 + -10x = -24 + 15
-10x = -24 + 15

Combine like terms: -24 + 15 = -9
-10x = -9

Divide each side by '-10'.
x = 0.9

Simplifying
x = 0.9

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