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

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


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

Reorder the terms:
-3(-3 + 2x) = -4(x + 5)
(-3 * -3 + 2x * -3) = -4(x + 5)
(9 + -6x) = -4(x + 5)

Reorder the terms:
9 + -6x = -4(5 + x)
9 + -6x = (5 * -4 + x * -4)
9 + -6x = (-20 + -4x)

Solving
9 + -6x = -20 + -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.
9 + -6x + 4x = -20 + -4x + 4x

Combine like terms: -6x + 4x = -2x
9 + -2x = -20 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + -2x = -20 + 0
9 + -2x = -20

Add '-9' to each side of the equation.
9 + -9 + -2x = -20 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -20 + -9
-2x = -20 + -9

Combine like terms: -20 + -9 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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