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

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


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

Reorder the terms:
4(-3 + 2x) = 3(4x + 6)
(-3 * 4 + 2x * 4) = 3(4x + 6)
(-12 + 8x) = 3(4x + 6)

Reorder the terms:
-12 + 8x = 3(6 + 4x)
-12 + 8x = (6 * 3 + 4x * 3)
-12 + 8x = (18 + 12x)

Solving
-12 + 8x = 18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-12 + 8x + -12x = 18 + 12x + -12x

Combine like terms: 8x + -12x = -4x
-12 + -4x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-12 + -4x = 18 + 0
-12 + -4x = 18

Add '12' to each side of the equation.
-12 + 12 + -4x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = 18 + 12
-4x = 18 + 12

Combine like terms: 18 + 12 = 30
-4x = 30

Divide each side by '-4'.
x = -7.5

Simplifying
x = -7.5

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