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

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


Simplifying
-3(2x + -3) = 4(5 + -1x)

Reorder the terms:
-3(-3 + 2x) = 4(5 + -1x)
(-3 * -3 + 2x * -3) = 4(5 + -1x)
(9 + -6x) = 4(5 + -1x)
9 + -6x = (5 * 4 + -1x * 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 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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