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

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


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

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

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

Reorder the terms:
-9 + 6x = 3 + 5x + 4x

Combine like terms: 5x + 4x = 9x
-9 + 6x = 3 + 9x

Solving
-9 + 6x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-9 + 6x + -9x = 3 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-9 + -3x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-9 + -3x = 3 + 0
-9 + -3x = 3

Add '9' to each side of the equation.
-9 + 9 + -3x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = 3 + 9
-3x = 3 + 9

Combine like terms: 3 + 9 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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