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

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


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

Reorder the terms:
3(-3 + 4x) + -5x = 3(x + 4)
(-3 * 3 + 4x * 3) + -5x = 3(x + 4)
(-9 + 12x) + -5x = 3(x + 4)

Combine like terms: 12x + -5x = 7x
-9 + 7x = 3(x + 4)

Reorder the terms:
-9 + 7x = 3(4 + x)
-9 + 7x = (4 * 3 + x * 3)
-9 + 7x = (12 + 3x)

Solving
-9 + 7x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 7x + -3x = 12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-9 + 4x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 4x = 12 + 0
-9 + 4x = 12

Add '9' to each side of the equation.
-9 + 9 + 4x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 12 + 9
4x = 12 + 9

Combine like terms: 12 + 9 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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